Dissertations / Theses on the topic 'Antihydrogene'

L’expérience GBAR propose de mesurer, au CERN, l’accélération de la pesanteur terrestre sur l’antimatière grâce à des atomes froids (neV) d’antihydrogène soumis à une chute libre. Ceux-ci sont obtenus en refroidissant d’abord des ions positifs d’antihydrogène, obtenus grâce à deux réactions consécutives se produisant lors de la collision d’un faisceau d’antiprotons avec un nuage dense de positronium.Le travail de thèse porte sur l'étude de ces réactions dans le but d’optimiser la production des ions d’antihydrogène. Pour cela, les sections efficaces des deux réactions ont été calculées dans le cadre d’un modèle de théorie des perturbations (Continuum Distorted Wave – Final State) pour des antiprotons ayant une énergie comprise entre 0 et 30 keV ; différents états excités du positronium ont été examinés. Ces sections efficaces ont ensuite été intégrées à une simulation de la zone d’interaction entre positronium et antiprotons afin de définir les paramètres expérimentaux optimaux pour GBAR. Les résultats suggèrent d’utiliser les états 2P, 3D ou, dans une moindre mesure, 1S du positronium, respectivement pour des antiprotons de 2, moins de 1 ou 6 keV. L’importance de compresser les impulsions temporelles d’antiprotons est soulignée ; le positronium devra être confiné dans un tube de 20 mm de long pour 1 mm de diamètre.Un laser en impulsion à 410 nm permettant d’exciter la transition à deux photons vers l’état 3D du positronium avait déjà été proposé. Son principe repose sur le doublage en fréquence d’un laser titane-saphir à 820 nm. Le dernier volet de la thèse fut dédié à la réalisation de ce laser, qui délivre des impulsions courtes (9 ns) de 4 mJ à 820 nm<br>The future CERN experiment called GBAR intends to measure the gravitational acceleration of antimatter on Earth using cold (neV) antihydrogen atoms undergoing a free fall. The experiment scheme first needs to cool antihydrogen positive ions, obtained thanks to two consecutive reactions occurring when an antiproton beam collides with a dense positronium cloud.The present thesis studies these two reactions in order to optimise the production of the anti-ions. The total cross sections of both reactions have been computed in the framework of a perturbation theory model (Continuum Distorted Wave – Final State), in the range 0 to 30 keV antiproton kinetic energy; several excited states of positronium have been investigated. These cross sections have then been integrated to a simulation of the interaction zone where antiprotons collide with positronium; the aim is to find the optimal experimental parameters for GBAR. The results suggest that the 2P, 3D or, to a lower extend, 1S states of positronium should be used, respectively with 2, less than 1 or 6 keV antiprotons. The importance of using short pulses of antiprotons has been underlined; the positronium will have to be confined in a tube of 20 mm length and 1 mm diameter.In the prospect of exciting the 1S-3D two-photon transition in positronium at 410 nm, a pulsed laser system had already been designed. It consists in the frequency doubling of an 820 nm pulsed titanium-sapphire laser. The last part of the thesis has been dedicated to the realisation of this laser system, which delivers short pulses (9 ns) of 4 mJ energy at 820 nm

Depuis les années 1975, les atomes de Rydberg sont étudiés et maintenant utilisés en information quantique pour leurs propriétés particulières d’interaction. Cependant, ces objets physiques peuvent se retrouver impliqués dans différentes autres applications, où leurs caractéristiques remarquables en font de parfaits outils. Dans ce mémoire, nous nous intéresserons à deux applications distinctes faisant intervenir des atomes de Rydberg de césium. Tout d’abord, nous verrons comment utiliser de tels atomes pour produire une source d’électrons monocinétiques, grâce au mécanisme d’ionisation singulier de ce type d’atomes à une valeur précise de champ électrique dépendante du niveau d’excitation. Les électrons ainsi produits sont ensuite extraits et leur dispersion en énergie mesurée. On montrera notamment de façon théorique et d’après les premières mesures expérimentales réalisées pendant la thèse, que l’on peut espérer obtenir une dispersion en énergie des électrons produits par cette technique de l’ordre du meV, résolution jamais atteinte à ce jour. Ce type de source devient aujourd’hui un outil indispensable pour accéder à la mise au point et l’étude de nouveaux matériaux par contrôle de réactions chimiques à l’échelle moléculaire, et à la cartographie des phonons. Dans un second temps, nous verrons qu’il est possible de désexciter un nuage d’atomes de Rydberg de niveaux variés grâce à une source externe dans le domaine térahertz. Ce projet s’inscrit dans le cadre des expériences d’étude de l’antimatière menées actuellement au CERN, qui visent à élucider le mystère de l’asymétrie matière/antimatière. Les méthodes actuelles de production de l’antihydrogène, forment des nuages de ces anti-atomes dans différents états de Rydberg. Pour les étudier, il est alors nécessaire de désexciter le plus d’atomes d’antihydrogène possible vers le niveau fondamental. Nous présenterons la méthode envisagée, ainsi que les résultats obtenus expérimentalement sur un dispositif créé pendant la thèse pour montrer la faisabilité de la technique. Ces premiers résultats montrent qu’il est possible d’accélérer la désexcitation d’un atome de Rydberg sur un état très élevé grâce à une lampe se comportant comme un corps noir. Nous détaillerons les améliorations envisagées, en particulier pour adapter le spectre des fréquences THz à utiliser et empêcher la photoionisation des atomes, par des filtres ou par le façonnage spectral via l’utilisation d’un photomixer<br>Since 1975, Rydberg atoms have been studied and now used in quantum information for their particular interaction properties. However, these physical objects can be involved in various other applications, where their remarkable characteristics make them perfect tools. In this paper, we will focus on two distinct applications involving cesium Rydberg atoms. First, we will see how to use such atoms to produce a source of monocinetic electrons, thanks to the singular ionization mechanism of this type of atoms at a precise value of electric field dependent on the excitation level. The electrons thus produced are then extracted and their energy dispersion measured. Theoretically and according to the first experimental measurements made during the thesis, we will show that we can hope an energy dispersion of the electrons produced by this meV technique, a resolution never reached before. Today, this type of source is becoming an indispensable tool for the development and study of new materials by molecular scale chemical reaction control and for phonon mapping. In a second step, we will see that it is possible to de-energize a cloud of Rydberg atoms of various levels thanks to an external source in the tera-hertz domain. This project is part of the ongoing anti-matter experiments at CERN, which aim to unravel the mystery of the matter/anti-matter asymmetry. The current methods of production of antihydrogen, forms clouds of these anti-atoms in different Rydberg states. To study them, it is then necessary to de-energize as many antihydrogen atoms as possible to the fundamental level. We will present the method envisaged, as well as the results obtained experimentally on a device created during the thesis to show the feasibility of the technique. These first results show that it is possible to accelerate the deenergization of a Rydberg atom on a very high state thanks to a lamp behaving like a black body. We will detail the improvements envisaged, in particular to adapt the spectrum of the THz frequencies to use and prevent the photoionization of atoms, by filters or by spectral shaping via the use of a photomixer

L’expérience GBAR repose sur la production d’ions antihydrogène positifs dans le but de mesurer l’accélération gravitationnelle à laquelle est soumise l’antimatière au repos. Le projet ANTION, sous-projet de GBAR, a pour but la production de ces ions d’antimatière. Il vise également à mesurer la section efficace de production d’antihydrogène dans les collisions d’antiprotons sur des atomes de positronium, ainsi que les sections efficaces correspondantes avec la matière, de production d’hydrogène et de l’ion hydrogène négatif. Ces expériences reposent sur la formation d’un nuage très dense de positronium, et nécessitent donc une grande quantité de positons qui seront implantés sur un matériau convertisseur de positons en positronium. Cette thèse décrit la construction d’un piège à “buffer gas” à trois étages, destiné à piéger et accumuler des positons pour le projet ANTION. L’association d’un piège de Penning avec une source basée sur un Linac constitue un montage expérimental unique. Le piège a été construit et optimisé, et est maintenant pleinement opérationnel. Les protocoles de piégeage ont été étudiés et les effets du gaz tampon et du gaz de refroidissement sur le taux de piégeage et la durée de vie des positons ont été quantifiés. Afin de faciliter la mesure de la section efficace de production de l’hydrogène, une simulation avec GEANT4 a été mise au point. Elle décrit l’évolution temporelle et spatiale des atomes d’ortho-positronium dans la cavité où aura lieu la production d’hydrogène. On estime que 2.7 atomes d’hydrogène sont produits pour des proton de 6 keV d’énergie incidente, en utilisant les sections efficaces calculées avec le modèle “Coulomb-Born Approximation”, et 1.6 atomes d’hydrogène pour des protons de 10 keV, si l’on utilise la méthode “two-center convergent close-coupling”. Les simulations permettent également d’estimer le bruit de fond associé aux positons et à l’annihilation du para-positronium. Cette étude amène à proposer une modification permettant d’augmenter le nombre d’atomes de positronium dans la cavité. En parallèle, une étude a porté sur l’efficacité de modération de positons d’une couche épitaxiale de carbure de silicium 4H-SiC. Une efficacité de modération de 65% a été mesurée pour des positons implantés avec une énergie de l’ordre du kilo- électronvolt. Ce résultat intéresse les expériences de physique utilisant des positons lents, car il permet d’améliorer la luminosité de faisceaux de positons; dans le cas de GBAR cela permettrait d’augmenter l’efficacité de piégeage des positons<br>The GBAR experiment relies on the production of antihydrogen positive ions to achieve its goal of measuring the gravitational acceleration of antimatter at rest. The ANTION project, included in the GBAR enterprise, is responsible for the production of these antimatter ions. Moreover, it also aims to measure the cross section of antihydrogen production throughout the collision of antiprotons and positronium atoms, as well as the matter cross sections of hydrogen and the hydrogen negative ion. These experiments imply the formation of a very dense positronium cloud, thus a large amount of positrons will be implanted on a positron/positronium converter material. This thesis reports the construction of a three stage buffer gas trap with the goal of trapping and accumulating positrons for the ANTION project. The combination of the Penning-type trap with a LINAC source constitutes a unique experimental setup. The trap was commissioned and optimized and is now fully operational. Trapping protocols were studied and the effect of the buffer and cooling gases on the positron trapping rate and lifetime was assessed. In order to assist the cross section measurement of hydrogen, a GEANT4 simulation was developed. It evaluates the time and spatial evolution of the ortho-positronium atoms in a cavity, where hydrogen production will take place. It was estimated that 2.7 hydrogen atoms are produced for proton impact energy of ∼ 6 keV, according to the cross sections computed with the Coulomb-Born Approximation model, and 1.6 hydrogen atoms for a proton impact energy of ∼ 10 keV, according to the two-center convergent close-coupling method. The simulations also allow the estimation of the background associated with the positron and para-positronium decay. In addition, a suggestion is proposed to increase the number of positronium atoms in the cavity. In parallel, the positron moderation efficiency of a commercially available 4H-SiC epitaxial layer was studied. A 65% moderation efficiency was observed for kiloelectronvolt implanted positrons. This result can be of interest to slow positron physics experiments by improving the brightness of positron beams, and in particular to GBAR as it can potentially increase the efficiency of positron trapping

The recent demonstration of trapped atomic antihydrogen for 15 to 1000 seconds is a milestone towards precise spectroscopy for tests of CPT invariance. The confinement of a total of 105±21 atoms in a quadrupole magnetic trap was made possible by several improved methods. Improved accumulation techniques give us the largest numbers of constituent particles yet: up to 10 million antiprotons and several billion positrons. A novel cooling protocol leads to 3.5 K antiprotons, the coldest ever observed. Characterizing and controlling the geometry and density of these confined antimatter plasmas allow for consistency in antihydrogen production. Continued use of these methods along with the larger trap depth of a unique second-generation magnet are expected to yield greater numbers of trapped antihydrogen. The new magnet generates both quadrupole and octupole trap geometries, which should make it possible to reduce charged particle loss and will prove useful for laser cooling and spectroscopy. The ultra-low inductances of the magnet have been shown to vastly reduce turn-off times, which will optimize single-atom detection. Finally, improved detector characterization already makes us sensitive to smaller numbers of trapped antihydrogen atoms than before.

Le but principal de la collaboration GBAR est de mesurer le comportement d'atomes d'antihydrogène sous l'effet de la gravité terrestre. Ceci est fait en mesurant la chute libre classique d'atomes d'antihydrogène, qui est un test direct du principe d'équivalence faible pour l'antimatière. La première étape de l'expérience est de produire des ions d'antihydrogène et de les amener dans un piège de Paul, où ils peuvent être refroidis à une température de l'ordre du μK en utilisant la technique du refroidissement sympathique avec des ions Be⁺ eux-mêmes mis dans leur état fondamental par la technique Raman à bande latérale. Une température de l'ordre du μK correspond à une vitesse de la particule de l'ordre de 1 m/s. Une fois cette vitesse atteinte, l'ion antihydrogène peut être neutralisé et commence sa chute. Ceci permet une précision de 1 % sur la mesure de l’accélération gravitationnelle g pour l’antimatière avec environ 1500 événements. Cependant, pour mesurer la chute libre, il faut d'abord produire l'ion antihydrogène. Celui-ci est formé dans les réactions d'échange de charge entre des antiprotons et des antihydrogènes avec du positronium. Positronium et atomes d'antihydrogène peut se trouver soit à l’état fondamental, soit dans un état excité. Une étude expérimentale de la mesure de la section efficace de ces deux réactions est décrite dans cette thèse. La production de l'atome d'antihydrogène ainsi que de l'ion se passe à l’intérieur d'une cavité. La formation d'un antihydrogène ion lors d'une interaction entre faisceaux requiert environ 5x10⁶ antiprotons/paquet et quelques 10¹¹ Ps/cm⁻³ de densité de positronium à l’intérieur d'une cavité. Celle-ci est produite par un faisceau contenant 5x10¹⁰ positrons par paquet. La production de faisceaux aussi intenses avec les propriétés requises est en soi un challenge. Le développement de la source de positrons de GBAR est décrite. Celle-ci est basée sur un accélérateur linéaire à électrons de 9 MeV. Le faisceau d’électrons est incident sur une cible de tungstène où les positrons sont créés par rayonnement de freinage (gammas) et création de paires. Une partie des positrons ainsi créés diffusent à nouveau dans un modérateur de tungstène en réduisant leur énergie à environ 3 eV. Ces particules sont re-accélérées à une énergie d'environ 53 eV. Aujourd'hui, le flux mesuré de positrons est au niveau de 6x10⁷ e⁺/s, soit quelques fois. Puis la thèse comporte une courte description des préparatifs pour les faisceaux d'antiprotons ou de protons, terminée par un chapitre sur le taux de production attendu d'atomes et d'ions d'antihydrogène. En aval de la réaction, les faisceaux d'antiprotons, d'atomes et d'ions d'antihydrogène sont guidés vers leur système de détection. Ceux-ci ont été conçus de façon à permettre la détection d'un à plusieurs milliers d'atomes d'antihydrogène, un seul ion antihydrogène et tous les 5x10⁶ antiprotons. Ceci est particulièrement difficile parce que l'annihilation des antiprotons crée beaucoup de particules secondaires qui peuvent perturber la mesure d'un atome ou ion. La majeure partie de la thèse consiste en la description des bruits de fond attendus pour la détection des atomes et ions d'antihydrogène. De plus, le système de détection permet de mesurer les sections efficaces pour les réactions symétriques de production d'atomes et d'ions hydrogèene par échange de charge entre protons et positronium. La partie production d’antihydrogène ions de l’expérience a été complètement installée au CERN en 2018. Les premiers tests avec des antiprotons provenant du décélérateur ELENA ont été effectués. Actuellement, l’expérience est testée avec des positrons et des protons, de façon à former des atomes et ions hydrogène. Une optimisation de la production de ces ions de matière aidera à se préparer pour la prochaine période de faisceau d'antiprotons en 2021<br>The main goal of the GBAR collaboration is to measure the Gravitational Behaviour of Antihydrogen at Rest. It is done by measuring the classical free fall of neutral antihydrogen, which is a direct test of the weak equivalence principle for antimatter. The first step of the experiment is to produce the antihydrogen ion and catch it in a Paul trap, where it can be cooled to μK temperature using ground state Raman sideband sympathetic cooling. The μK temperature corresponds to particle velocity in the order of 1 m/s. Once such velocity is reached, the antihydrogen ion can be neutralised and starts to fall. This allows reaching 1 % precision on the measurement of the gravitational acceleration g for antimatter with about 1500 events. Later, it would be possible to reach 10⁻⁵ - 10⁻⁶ precision by measuring the gravitational quantum states of cold antihydrogen. However, in order to measure the free fall, firstly the antihydrogen ion has to be produced. It is formed in the charge exchange reactions between antiproton/antihydrogen and positronium. Positronium and antihydrogen atoms can be either in a ground state or in an excited state. An experimental study of the cross section measurement for these two reactions is described in the presented thesis. The antihydrogen atom and ion production takes place in a cavity. The formation of one antihydrogen ion in one beam crossing requires about 5x10⁶ antiprotons/bunch and a few 10¹¹ Ps/cm⁻³ positronium density inside the cavity, which is produced with a beam containing 5x10¹⁰ positrons per bunch. The production of such intense beams with required properties is a challenging task. First, the development of the positron source is described. The GBAR positron source is based on a 9 MeV linear electron accelerator. The relatively low energy was chosen to avoid activation of the environment. The electron beam is incident on a tungsten target where positrons are created from Bremsstrahlung radiation (gammas) through the pair creation process. Some of the created positrons undergo a further diffusion in the tungsten moderator reducing their energy to about 3 eV. The particles are re-accelerated to about 53 eV energy and are adiabatically transported to the next stage of the experiment. Presently, the measured positron flux is at the level of 6x10⁷ e⁺/s, which is a few times higher than intensities reached with radioactive sources. Then, the thesis features a short description of the antiproton/proton beam preparations, finalised with a chapter about the expected antihydrogen atom and ion production yield. After the reaction, antiproton, antihydrogen atom, and ion beams are guided to the detection system. It is made to allow for detection from 1 to a few thousand antihydrogen atoms, a single antihydrogen ion and all 5x10⁶ antiprotons. It is especially challenging because antiproton annihilation creates a lot of secondary particles which may disturb measurements of single antihydrogen atoms and ions. The main part of the Thesis is the description of the expected background for the antihydrogen atom and ion detection. Additionally, the detection system allows measuring the cross sections for the symmetric reactions of a hydrogen atom and ion production through charge exchange between protons and positronium. The antihydrogen ion production part of the experiment was fully installed at CERN in 2018. The first tests with antiprotons from the ELENA decelerator were done. Currently, the experiment is being commissioned with positrons and protons, in order to perform the hydrogen atom and ion formation. The optimisation of the ion production with matter will help to be fully prepared for the next antiproton beam time in 2021

Ma thèse s’est déroulée dans le cadre de la collaboration AEgIS, une des expériences étudiant l’antimatière au CERN. L’objectif final est de mesurer l’effet de la gravité sur un faisceau froid d’antihydrogène (Hbar). AEgIS se propose de créer les Hbar froids par échange de charges entre un atome de Positronium (Ps) excité (état de Rydberg) et un antiproton piégé : 〖Ps〗^*+ pbar → (H^*)⁻ + e⁻. L’étude de la physique du Ps est cruciale pour AEgIS, et demande des systèmes lasers adaptés. Pendant ma thèse, ma première tâche a été de veiller au bon fonctionnement des systèmes lasers de l’expérience. Afin d’exciter le positronium jusqu’à ses états de Rydberg (≃20) en présence d’un fort champ magnétique (1 T), deux lasers pulsés spectralement larges ont été spécialement conçu. Nous avons réalisé la première excitation par laser du Ps dans son niveau n=3, et prouvé une excitation efficace du nuage de Ps vers les niveaux de Rydberg n=16-17. Ces mesures, réalisées dans la chambre à vide de test d’AEgIS, à température ambiance et pour un faible champ magnétique environnant, sont la première étape vers la formation d’antihydrogène. Le prochain objectif est de répéter ces résultats dans l’enceinte du piège à 1 T, où les antihydrogènes seront formés. Pour autant, malgré l’excitation Rydberg des Ps pour accroître la section efficace de collision, la production d’antihydrogène restera faible, et la température des H bar formés sera trop élevée pour toute mesure de gravité. Pendant ma thèse, j’ai installé au CERN un autre système laser prévu pour pratiquer une spectroscopie précise des niveaux de Rydberg du Ps. Ce système excite des transitions optiques qui pourraient convenir à un refroidissement Doppler : la transition n=1 ↔ n=2. J’ai étudié la possibilité d’un tel refroidissement, en procédant à des simulations poussées pour déterminer les caractéristiques d’un système laser adapté La focalisation du nuage de Ps grâce au refroidissement des vitesses transverses devrait accroitre le recouvrement des positroniums avec les antiprotons piégés, et ainsi augmenter grandement la production d’Hbar. Le contrôle du refroidissement et de la compression du plasma d’antiprotons est aussi essentiel pour la formation des antihydrogènes. Pendant les temps de faisceaux d’antiprotons de 2014 et 2015, j’ai contribué à la caractérisation et l’optimisation des procédures pour attraper et manipuler les antiprotons, afin d’atteindre des plasmas très denses, et ce, de façon reproductible. Enfin, j’ai participé activement à l’élaboration d’autre projet à l’étude AEgIS, qui vise aussi à augmenter la production d’antihydrogène : le projet d’un refroidissement sympathique des antiprotons, en utilisant un plasma d’anions refroidis par laser. J’ai étudié la possibilité de refroidir l’ion moléculaire C₂⁻, et les résultats de simulations sont encourageants. Nous sommes actuellement en train de développer au CERN le système expérimental qui nous permettra de faire les premiers tests de refroidissement sur le C₂⁻. Si couronné de succès, ce projet ne sera pas seulement le premier résultat de refroidissement par laser d’anions, mais ouvrira aussi les portes à une production efficace d’antihydrogènes froids<br>My Ph.D project took place within the AEgIS collaboration, one of the antimatter experiments at the CERN. The final goal of the experiment is to perform a gravity test on a cold antihydrogen (Hbar) beam. AEgIS proposes to create such a cold Hbar beam based on a charge exchange reaction between excited Rydberg Positronium (Ps) and cold trapped antiprotons: 〖Ps〗^* + pbar → (H^*)⁻ + e⁻. Studying the Ps physics is crucial for the experiment, and requires adapted lasers systems. During this Ph.D, my primary undertaking was the responsibility for the laser systems in AEgIS. To excite Ps atom up to its Rydberg states (≃20) in presence of a high magnetic field (1 T), two broadband pulsed lasers have been developed. We realized the first laser excitation of the Ps into the n=3 level, and demonstrated an efficient optical path to reach the Rydberg state n=16-17. These results, obtained in the vacuum test chamber and in absence of strong magnetic field, reach a milestone toward the formation of antihydrogen in AEgIS, and the immediate next step for us is to excite Ps atoms inside our 1 T trapping apparatus, where the formation of antihydrogen will take place. However, even once this next step will be successful, the production rate of antihydrogen atoms will nevertheless be very low, and their temperature much higher than could be wished. During my Ph.D, I have installed further excitation lasers, foreseen to perform fine spectroscopy on Ps atoms and that excite optical transitions suitable for a possible Doppler cooling. I have carried out theoretical studies and simulations to determine the proper characteristics required for a cooling laser system. The transverse laser cooling of the Ps beam will enhance the overlap between the trapped antiprotons plasma and the Ps beam during the charge-exchange process, and therefore drastically improve the production rate of antihydrogen. The control of the compression and cooling of the antiproton plasma is also crucial for the antihydrogen formation. During the beam-times of 2014 and 2015, I participated in the characterization and optimization our catching and manipulation procedures to reach highly compressed antiproton plasma, in repeatable conditions. Another project in AEgIS I took part aims to improve the formation rate of ultracold antihydrogen, by studying the possibility of a sympathetically cooling of the antiprotons using a laser-cooled anion plasma. I investigated some laser cooling schemes on the C₂⁻ molecular anions, and the simulations are promising. I actively contribute to the commissioning of the test apparatus at CERN to carry on the trials of laser cooling on the C₂⁻ species. If successful, this result will not only be the first cooling of anions by laser, but will open the way to a highly efficient production of ultracold antihydrogen atoms

Antihydrogen atoms \((\bar{H})\) are confined in a magnetic quadrupole trap for 15 to 1000 s - long enough to ensure that they reach their ground state. This milestone brings us closer to the long-term goal of precise spectroscopic comparisons of \(\bar{H}\) and H for tests of CPT and Lorentz invariance. Realizing trapped \(\bar{H}\) requires characterization and control of the number, geometry, and temperature of the antiproton \((\bar{p})\) and positron \((e^+)\) plasmas from which \(\bar{H}\) is formed. An improved apparatus and implementation of plasma measurement and control techniques make available \(10^7 \bar{p}\) and \(4 \times 10^9 e^+\) for \(\bar{H}\) experiments - an increase of over an order of magnitude. For the first time, \(\bar{p}\) are observed to be centrifugally separated from the electrons that cool them, indicating a low-temperature, high-density \(\bar{p}\) plasma. Determination of the \(\bar{p}\) temperature is achieved through measurement of the \(\bar{p}\) evaporation rate as their confining well is reduced, with corrections given by a particle-in-cell plasma simulation. New applications of electron and adiabatic cooling allow for the lossless reduction in \(\bar{p}\) temperature from thousands of Kelvin to 3.5 K or colder, the lowest ever reported. The sum of the 20 trials performed in 2011 in which \(\bar{p}\) and \(e^+\) mix to form \(\bar{H}\) in the presence of a magnetic quadrupole trap reveals a total of \(105 \pm 21\) trapped \(\bar{H}\), or \(5 \pm 1\) per trial on average. This result paves the way towards the large numbers of simultaneously trapped \(\bar{H}\) that will be necessary for laser spectroscopy.<br>Physics

This thesis presents a nonadiabatic (4-body) description of the hydrogen-antihydrogen system at a nonrelativistic level. The properties of the system, the rearrangement processes and the possible existence of resonance states are investigated by using a variational method for coupled arrangement channels, the Gaussian Expansion Method, and the stabilization method. The 4-body basis set is optimized by means of prediagonalization of 2-body fragments. In paper I, a mass-scaling procedure of the Born-Oppenheimer potential is introduced for the description of the relative motion between hydrogen and antihydrogen. The nonadiabaticity of the system is investigated in paper II.

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2002.<br>Includes bibliographical references (p. 119-122).<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>A new physical mechanism for positron accumulation is explained and demonstrated. Strongly magnetized Rydberg positronium is formed and then ionized, allowing us to trap equal numbers of either positrons or electrons over a wide range of conditions. Antiprotons are trapped, cooled, and stacked from the new Antiproton Decelerator facility for the first time. Combining positrons and antiprotons, we have demonstrated the first positron cooling of antiprotons. The cooling takes place in a 4.2 K, nested Penning trap where conditions are ideal for the eventual goal of the formation of antihydrogen.<br>by John Karl Estrada.<br>Ph.D.

<p> We provide estimates of both cross section and rate for the stimulated attachment of a second positron into the (1<i>s</i>² ¹<i>S^e</i>) state of the <i>H&macr; </i>⁺ ion using Ohmura and Ohmura&rsquo;s (1960 Phys. Rev. 118 154) effective range theory, Reiss&rsquo;s strong field approximation (1980 Phys. Rev. A 22, 1786), and the principle of detailed balancing. Our motivation for producing <i>H&macr;</i>⁺ ion include its potential to be used as an intermediate state in bringing antihydrogen to ultra-cold (sub-mK) temperatures required for a variety of studies, which include both spectroscopy and the probing of the gravitational interaction of the anti-atom. We show that both cross section and rate are increased with the use of a resonant laser field.</p><p>

We provide estimates of both cross section and rate for the stimulated attachment of a second positron into the (1s2 1Se) state of the H+ ion using Ohmura and Ohmura's (1960 Phys. Rev. 118 154) effective range theory, Reiss's strong field approximation (1980 Phys. Rev. A 22, 1786), and the principle of detailed balancing. Our motivation for producing H+ ion include its potential to be used as an intermediate state in bringing antihydrogen to ultra-cold (sub-mK) temperatures required for a variety of studies, which include both spectroscopy and the probing of the gravitational interaction of the anti-atom. We show that both cross section and rate are increased with the use of a resonant laser field.

The ALPHA experiment at CERN is an ongoing project which tests fundamental symmetries between matter and antimatter by producing and trapping antihydrogen atoms in order to perform precision spectroscopic measurements. A logical next step is to form the antihydrogen molecular ion (consisting of one positron and two antiprotons). This system possesses net charge, and can therefore be trapped electrostatically, making repeated measurements possible. Moreover it has been suggested that the molecule has the potential to allow for higher-precision comparisons with ordinary matter than have been attained with the atom. Since both momentum and energy have to be conserved in a collision, a simple collision process between an antihydrogen atom (“Hbar”) and an antiproton (“pbar”) does not suffice in order to form the molecular ion. However it is possible, upon mixing of the two species, for a pbar colliding with an Hbar in the ground electronic state to form a metastable molecular state (i.e., a resonance) which is weakly coupled to a stable molecular state (i.e., a bound state) via spontaneous quadrupole transition. During the time a metastable ion exists, a second pbar can happen to undergo a Coulomb collision with the metastable molecular ion. The quadrupole electrostatic interaction with this secondary antiproton acts as a time-dependent perturbation on the molecular system which can strengthen the coupling between resonance and bound state. Hence a collision with a secondary pbar can induce a transition to a bound state whereby the excess energy is carried off by the secondary pbar. This work aims to determine the efficiency of the process just described. On the theoretical side, the following is done: a study is conducted on the topic of resonance scattering as it relates to the problem in consideration; building on this study a generalized time-dependent perturbation theory is constructed which is valid for transitions to and from resonant states as well as bound states. On the numerical side: the effective potential for pbar-Hbar scattering in the ground electronic state is obtained numerically within the adiabatic approximation; the energies and lifetimes of the resonant states of the molecular ion are estimated; a temperature-dependent rate coefficient is obtained for the process described which, in order to obtain a proper rate, needs to be multiplied by the square of the density of the antiproton plasma and by the number of antihydrogen atoms. It is concluded that at current capacity for trapping and storage of pbar and Hbar the process examined is not competitive with respect to other formation routes which have been proposed for the molecular ion.

Synthesis and capture of antihydrogen in controlled laboratory conditions will enable precise studies of neutral antimatter. The work presented deals with some of the physics pertinent to manipulating charged antiparticles in order to create neutral antimatter, and may be applicable to other scenarios of plasma confinement and charged particle interaction. The topics covered include the electrostatic confinement of a reflecting ion beam and the transverse confinement of an ion beam in a purely electrostatic configuration; the charge sign effect on the Coulomb logarithm for a two component (e.g., antihydrogen) plasma in a Penning trap as well as the collisional scattering for binary Coulomb interactions that are cut off at a distance different than the Debye length; and the formation of magnetobound positronium and protonium.

Le cadre de cette thèse est celui de la collaboration GBAR, au CERN, qui a pour objectif de mesurer l’accélération de pesanteur de l’antimatière. Dans cette thèse, nous étudions la réflexion quantique de l’antihydrogène sur le détecteur, provoquée par l’interaction Casimir-Polder que nous calculons pour différents matériaux. Nous trouvons une réflexion quantique particulièrement élevée pour un atome d’antihydrogène sur une surface d’hélium liquide. Nous présentons ensuite une description complète des états quantiques gravitationnels, mêlant la gravité et l’interaction de Casimir-Polder. Nous revisitons pour cela la théorie des collisions dans le cas du potentiel de Casimir-Polder à travers une nouvelle "effective range theory", obtenue après transformée de Liouville. La connaissance des états quantiques gravitationnels nous amène à proposer une nouvelle méthode de mesure de l’accélération de pesanteur, en créant des interférences quantiques entre ces états. Une analyse statistique de la figure d’interférence ainsi obtenue est réalisée, conduisant à une amélioration de la précision jusqu’à trois ordres de grandeurs par rapport à l’expérience initiale de chute libre classique. Enfin, nous étudions en détail l’influence du désordre au niveau de la plaque de détection, celle-ci n’étant en réalité pas une surface parfaite. Nous calculons l’effet de ce désordre sur les fluctuations du potentiel de Casimir-Polder lui-même, et observons un comportement en loi différent pour les modèles de conductivité que sont le modèle plasma et le modèle de Drude<br>The framework of this thesis is the GBAR collaboration at CERN, which aims to measure the free fall acceleration of antimatter . In this thesis, we study the quantum reflection of the antihydrogen on the detector, caused by the Casimir-Polder interaction that we calculate for different materials. We find a particularly high quantum reflection for an antihydrogen atom on a surface of liquid helium. We then present a complete description of the gravitational quantum states, mixing gravity and Casimir-Polder interaction. For this purpose, we revisit the theory of collisions in the case of the Casimir-Polder potential through a new "effective range theory", obtained after a Liouville transform. The knowledge of gravitational quantum states leads us to propose a new method of measuring free fall acceleration, by creating quantum interferences between these states. A statistical analysis of the interference pattern thus obtained is carried out, leading to an improvement in the accuracy until three orders of magnitude compared to the initial free-fall experiment. Finally, we study in detail the influence of the disorder at the level of the plate of detection, the latter being in fact not a perfect surface. We calculate the effect of this disorder on the fluctuations of the Casimir-Polder potential itself, and observe a different behavior in law for the conductivity models such as the plasma model and the Drude model

The ATHENA Collaboration at CERN, Geneva, was a world leading experiment in the production of and experimentation with antihydrogen. By combining antiprotons and positrons, it was the first to produce cold antiatoms (a sample of 50,000) in 2002 and continues towards the primary aim of producing the most accurate test of the CPT theorem to date by comparing spectroscopic measurements of antihydrogen and hydrogen. This thesis is primarily concerned with investigations into the effect of a rotating electric field on a confined positron plasma under various conditions, with the aim of increasing understanding and improving the methods used to produce suitable plasmas for antihydrogen production. A phosphor screen and CCD camera apparatus was used to do this, which replaced a segmented Faraday cup. Results include the identification of several problems with the apparatus, such as probable magnetic asymmetries and potential steps, as well as some unexpected observations, such as a hollow positron beam and double positron plasmas. They also include the identification of critical parameters, primarily the critical positron density, before which the rotating electric field had little or no effect: how these parameters were affected by the various conditions of the accumulator (mainly the buffer gas pressure) was also investigated. Finally the results demonstrated in detail a complex accumulation process previously unknown whereby two plasmas were formed side-by-side, and only one was affected by the rotating electric field.

This thesis describes a buffer gas positron accumulator which has been used by the ATHENA collaboration to produce and detect the first cold antihydrogen atoms. In particular, the work presented is centred on the implementation of a so-called rotating wall electric field to compress a positron plasma in preparation for recombination with antiprotons, in addition to maximising the accumulation efficiency by the automatic optimisation of the trap applied potentials. Central results include successful compression of the positron plasma with an increase in central density by a factor of six. The use of a rotating wall during accumulation of a positron plasma has been investigated for the first time with interesting distinctions observed when compared to a typical accumulation without the use of a rotating wall. Results show that its application results in a greater number of positrons being accumulated at a given time, and that there appears to be an optimum, pressure dependent, time at which to apply the rotating wall. Results also indicate that the accumulation time at which the plasma is maximally compressed is also pressure dependent. A useful program has also been written, and successfully implemented that automatically optimises the electrode array applied potentials to maximise the trapping efficiency after the growth of new solid neon moderators.

One of the pivotal principles of physics is the C (charge) P (parity) T (time reversal) (CPT) theorem. One method for testing the CPT symmetry is to investigate the properties of antihydrogen. The Antihydrogen Laser PHysics Apparatus (ALPHA) experiment aims at creating, confining and applying spectroscopic techniques to probe the atomic structure of antihydrogen anti-atom with the same accuracy as that of the hydrogen atom. There are several non-trivial experimental challenges that must be overcome in antihydrogen studies. One major challenge is the detection of antihydrogen anti-atoms. This is done by identifying the antihydrogen annihilation. This thesis presents both a new method for identifying signal pulses from the background electric pulses of the silicon strips (Alternative Pedestal Analysis (APA), see Appendix A) as well as a completely new and enhanced vertex reconstruction method (Alternative Reconstruction Method (ARM), see Appendix C). The ARM is based on implementing a set of filtration mechanisms to identify the track candidates. Moreover, the reconstruction of the tracks is accomplished by adapting a numerical approach. Combining the APA and the ARM schemes has led to an increase in the vertex reconstruction efficiency by 1.5%. The alternative approaches for pedestal analysis and vertex reconstruction utilize a considerably more versatile algorithm. This feature allows greater control over variables and selection parameters employed for the reconstruction of vertices. The conclusive verifications of the performances of the new approaches are based on their visualization capabilities, the key aspect in devising the APA and the ARM, see Appendices B and D. The scripts in Appendices A-D haven been written solely by the author and are completely independent of pedestal and even vertex reconstruction algorithms currently implemented in the ALPHA experiment. The full commented versions of the scripts in Appendices A-D are available via the accompanying website.

Precise spectroscopic measurements of anti-hydrogen at the ALPHA experiment are hindered by small numbers of cold anti-atoms. This thesis describes a cooling technique for positron plasmas which can be used to increase the number of trappable anti-hydrogen atoms. The technique builds on previous work which allows control of spontaneous emission via the Purcell Effect. Our implementation incorporates a novel microwave resonator into an existing Penning trap to enhance spontaneous emission. Preliminary data suggests that temperatures and cooling rates for these plasmas can be improved by at least a factor of 10. Eventually this work could result in an order of magnitude increase in anti-hydrogen production at ALPHA.<br>Science, Faculty of<br>Physics and Astronomy, Department of<br>Graduate

This dissertation describes two related projects: the development of a coherent Lyman-α source and the implementation of a supersonic hydrogen beam. A two-photon resonance-enhanced four wave mixing process in krypton is used to generate high power coherent radiation at ωLy_α ⇒ 121.56 nm, the hydrogen Lyman-α line, to perform spectroscopy and cooling of magnetically trapped antihydrogen (1s − 2p transition). This is a tool to directly test both the Einstein Equivalence Principle and Charge, Parity, and Time inversion symmetry. The former can be tested by measuring the gravity interaction of matter and antimatter. Inversion symmetry can be tested by comparing the spectroscopic properties of hydrogen and antihydrogen. Both experiments require optically cooled antihydrogen. Under the current trapping conditions, optical cooling could be performed with nanosecond long pulses of 0.1 μJ of Lyman-α radiation at a repetition rate of 10 Hz. The process to generate Lyman-α radiation uses two wavelengths (ωR ⇒ 202.31 nm and ωT ⇒ 602.56 nm), which are mixed in a sum-difference scheme (ωLy_α = 2ωR−ωT ) with a two-photon resonance at (4s²4p⁵5p[1/2]₀ ← 4s²4p⁶(¹S₀) ). The source implemented produces 1.2 μW at the Lyman-α line and this was confirmed by performing spectroscopy of hydrogen. The design, implementation and characterization of the source are discussed in this dissertation. In the second part of the dissertation the implementation of the hydrogen beam and its characterization are discussed. The atomic hydrogen is generated with a thermal effusive source and it is entrained by an expanding noble gas. This process generates a cold beam of hydrogen atoms. Hydrogen is separated from the noble gas with a Zeeman bender that uses the forces generated by the Zeeman shift of low field seeking states of hydrogen and engineered magnetic field gradients. The hydrogen beam was characterized with a quadrupole mass spectrometer. The seed noble gas beam was characterized by colliding it with ultra-cold rubidium atoms in a magneto-optical trap. The trapped atoms loss rate resulting from these collisions can be used to measure the density of the atomic beam. This measurement demonstrates the potential of using magneto-optical traps as absolute flux monitors.

Antihydrogen is the simplest neutral antimatter atom. Precision comparisons between hydrogen and antihydrogen would provide stringent tests of CPT (charge conjugation/parity transformation/time reversal) invariance and the weak equivalence principle. In the last few years, the ALPHA collaboration has produced, and trapped antihydrogen. Most recently, this collaboration has probed antihydrogen’s internal structure by inducing hyperfine transitions in ground state atoms. In this thesis, many details of the cold antihydrogen formation, trapping and measurements of antihydrogen performed in the ALPHA apparatus are presented, with a focus on antiproton cloud compression. Such compression is an important tool for the formation and trapping of cold antihydrogen, since it allows control of the radial size and density of the antiproton cloud. Compression of non-neutral plasmas can be achieved using a rotating time-varying azimuthal electric field, which has been called rotating wall technique. In this work, we have observed a new mechanism for compression of a non-neutral plasma, specifically where antiprotons embedded in an electron plasma are compressed by a rotating wall drive at a frequency close to the sum of the axial bounce and rotation frequencies (in a frequency range of 50 – 750 kHz). The radius of the antiproton cloud is reduced by up to a factor of 20 with the smallest radius measured to be ∼ 0.2 mm. We have studied antiproton cloud compression as a function of the rotating wall frequency, the duration of compression, the rotating wall amplitude, the numbers of electrons and antiprotons, the magnetic field and the shape of the potential well. The frequency range over which compression is evident is compared to the sum of the antiproton bounce frequency and the system’s rotation frequency. It is suggested that bounce resonant transport is a likely explanation for the compression of antiproton clouds in this regime.<br>Science, Faculty of<br>Physics and Astronomy, Department of<br>Graduate

Cette thèse est consacrée au calcul de sections efficaces de réactions impliquant le système à trois corps (e − , e + , p̄) à des énergies représentatives de l’expérience GBAR. Deux approches théoriques ont été utilisées. La première, appelée méthode des canaux couplés, permet de traiter le système dans un cadre théorique plus simple. La deuxième, basée sur le formalisme rigoureux des équations de Faddeev-Merkuriev, a permis le calcul explicite des sections efficaces. Une des difficultés majeures provient de la dégénérescence accidentelle du premier état excité des atomes d’antihydrogène et de positronium. Le traitement de cette dégénérescence a été réalisé dans un premier temps dans le formalisme de canaux couplés avant d’être adapté au code des équations de Faddeev-Merkuriev. Dans ce document, nous discutons les sections efficaces dans le contexte de l’expérience GBAR et interprétons les phénomènes résonnants mis en évidence, les résonances de Feshbach et les oscillations de Gailitis-Damburg<br>This thesis is dedicated to cross section calculations involving the three body system (e − , e + , p̄) at representative energies for the GBAR experiment. Two different theoretical formalisms have been used. The first one, the close coupling method, allows to study the system in a more simple and schematic theoretical frame. The second, based on the mathematically rigorous formalism of the Faddeev-Merkuriev equations, is used to compute the explicit cross sections. One of the major difficulties comes from the accidental degeneracy of the antihydrogen and positronium atoms first excited states. The treatment of this degeneracy has been realised, in a first time, with the close-coupling formalism before being adapted to the Faddeev-Merquriev equations code. In this document, we discuss the cross sections in the GBAR experiment frame and we construe the highlighted resonant phenomena, the Feshbach resonances and the Gailitis-Damburg oscillations

AEGIS (Antimatter Experiment, Gravity, Interferometry and Spectroscopy) isan experiment under development at CERN which will measure earth's gravitationalforce on antimatter. This will be done by creating a horizontal pulsedbeam of low energy antihydrogen, an atom consisting of an antiproton anda positron. The experiment will measure the vertical de ection of the beamthrough which it is possible to calculate the gravitational constant for antimatter.To characterise the production process in the current state of the experimentit is necessary to develop an imaging detector for single excited hydrogenatoms. This thesis covers the design phase of that detector and includes studiesand tests of detector components. Following literature studies, tests and havingdiscarded several potential designs, a baseline design was chosen. The suggesteddetector will contain a set of ionising rings followed by an electron multiplyingmicrochannel plate, a light emitting phosphor screen, a lens system and nallya CCD camera for readout. The detector will be able to detect single hydrogenatoms, measure their time of ight as well as being able to image electronplasmas and measure the time of ight of the initial particles in such a plasma.Tests were made to determine the behaviour of microchannel plates at the lowtemperatures used in the experiment. Especially, the resistance and multiplicationfactor of the microchannel plates have been measured at temperaturesdown to 14 K.<br>AEGIS

Thesis (Ph. D.)--University of California, San Diego, 2008.<br>Title from first page of PDF file (viewed February 5, 2008). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 122-124).

AEgIS is an experiment at CERN where the goal is to directly measure the gravitational force on antimatter by producing antihydrogen. The antihydrogen will be produced by a charge exchange reaction using laser excited positronium and cold antiprotons. Having a well-characterized positron plasma with at least 108 positrons and knowing how it can be controlled is essential for the positronium production. This thesis is based on the goals of AEgIS experiment and describes the positron plasma manipulations being used in AEgIS in order to achieve the required plasma properties for the experiment. The positron system is made up by a source, a Surko trap and a Penning-Malmberg trap. This system was first optimized to increase the number of positrons. The plasma was then moved to the main traps of the experiment where it was systematically characterized in terms of lifetime, cooling efficiency and compression. Positron plasma compression in time, trapping and cooling was tested for the first time in AEgIS using a buncher and Penning-Malmberg traps respectively. In this thesis, it is shown that a compression of more than 50 % in time of the positron cloud using a buncher can be achieved. It is also shown that trapping and cooling with an efficiency of nearly 100 % in the main traps using a “V” shaped potential trap was successful. On top of that, the lifetime inside this “V” shaped potential trap was observed to be longer than 30 minutes.

L’expérience GBAR vise à mesurer la chute libre d’atomes d’antihydrogène ultra-froids (neV). Cela implique de produire des ions d’antihydrogène, obtenus à l’issue de deux réactions d’échange de charge faisant intervenir des antiprotons et des atomes de positronium. Le but de ce travail est d’étudier la possibilité d’augmenter les taux de production d’atomes et d’ions antihydrogène produits, en assistant les deux réactions par laser. Les sections efficaces sont obtenues aux énergies d’antiproton de GBAR (1 - 10keV), en utilisant une approche semi-perturbative proposée par Byron et Joachain. Celle-ci permet de décrire simultanément l’interaction électron-atome (Coulomb Born Approximation ou Continuum Distorted Waves - Final State), l’interaction électron-laser (états de Volkov),et les interactions laser-atomes (premier ordre de la théorie des perturbations dépendantes du temps). L’excitation depuis l’état 1s du positronium par le processus de transition virtuel à un photon est étudiée, en considérant des lasers dont les longueurs d’onde sont proches de 243 nm (raie Lyman-α). Une adaptation de ces lasers est ensuite proposée afin d’exciter les états 3s et 3d (Paschen-β). Les décalages Doppler résultants de la distribution de vitesse du nuage de positronium sont également pris en compte, aux énergies de confinement de 25 meV et 48 meV. Finalement, le nombre d’antiatomes produits est estimé. Comparativement à la situation où les collisions ne sont pas assistées par un laser, les pertes induites par les processus de photo-ionisation et de photo-détachement sont évaluées<br>The GBAR experiment aims at measuring the free fall of ultra-cold antihydrogens (neV).This implies the production of antihydrogen ions, which are obtained by two charge exchange reactions involving antiprotons and positronium atoms. The goal of this study is to analyse the possibility to increase the production rates of the antihydrogens and the antihydrogen ions produced, by assisting the two reactions with a laser. The cross sections are obtained in the antiproton energy range of the GBAR experiment (1 - 10 keV), by using a semi-perturbative approach proposed by Byron and Joachain. This method,simultaneously, allows the description of electron-atom interaction (Coulomb Born Approximation or Continuum Distorted Waves - Final State), the electron-laser interaction (Volkov states), and the laser-atom interactions (first order time dependent perturbation theory). The positronium excitation from the 1s state by one-photon virtual transition process is studied, by considering lasers whose wavelengths are around 243 nm (Lyman-αline). It is then proposed to adapt these laser sources in order to excitate 3s and 3d states (Paschen-β). The Doppler shifts resulting from the positronium cloud velocity distribution are taken into account as well, at the confinement energies of 25 meV and 48 meV. Finally,the number of antiparticules produced is estimated. Compared to the case of non-assisted collisions, the losses induced by the photo-ionization and photo-detachment processes are evaluated

Comparisons between measurements of the ground-state hyperfine structure and gravitational acceleration of hydrogen and antihydrogen could provide a test of fundamental physical theories such as CPT (charge conjugation, parity, time-reversal) and gravitational symmetries. Currently, antihydrogen traps are based on Malmberg-Penning traps. The number of antiprotons in Malmberg-Penning traps with sufficiently low energy to be suitable for trappable antihydrogen production may be reduced by the electrostatic space charge of the positrons and/or collisions among antiprotons. Alternative trap designs may be needed for future antihydrogen experiments. A computational tool is developed to simulate charged particle motion in customizable magnetic fields generated by combinations of current loops and current lines. The tool is used to examine charged particle confinement in two systems consisting of dual, levitated current loops. The loops are coaxial and arranged to produce a magnetic null curve. Conditions leading to confinement in the system are quantified and confinement modes near the null curve and encircling one or both loops are identified. Furthermore, the tool is used to examine and quantify charged particle motion parallel to the null curve in the large radius limit of the dual, levitated current loops. An alternative to new trap designs is to identify the effects of the positron space in existing traps and to find modes of operation where the space charge is beneficial. Techniques are developed to apply the Boltzmann density relation along curved magnetic field lines. Equilibrium electrostatic potential profiles for a positron plasma are computed by solving Poisson's equation using a finite-difference method. Equilibria are computed in a model Penning trap with an axially varying magnetic field. Also, equilibria are computed for a positron plasma in a model of the ALPHA trap. Electric potential wells are found to form self-consistently. The technique is expanded to compute equilibria for a two-species plasma with an antiproton plasma confined by the positron space charge. The two-species equilibria are used to estimate timescales associated with three-body recombination, losses due to collisions between antiprotons, and temperature equilibration. An equilibrium where the three-body recombination rate is the smallest is identified.

Les collisions entre atomes ultrafroids et surfaces matérielles sont caractérisées par la réflexion de l'onde de matière atomique sur le potentiel attractif de Casimir-Polder. Cette réflexion quantique est déterminante pour des expériences telles que GBAR, qui mesurera l'accélération d'un atome d'antihydrogène froid chutant vers une plaque de détection. Dans cette thèse, le potentiel de Casimir-Polder est calculé à partir des propriétés de diffusion électromagnétique de l'atome et de la surface. Il s'avère dépendre de la réponse diélectrique, de l'épaisseur et de la densité du milieu. Nous montrons que la réflexion sur ce potentiel est associée à une rupture de l'approximation semiclassique et qu'elle augmente pour des atomes lents et des potentiels faibles. Les transformations de Liouville relient des équations de Schrödinger avec des potentiels différents mais les mêmes amplitudes de diffusion. L'équivalence entre la réflexion quantique sur un puits de potentiel et l'effet tunnel à travers une barrière offre de nouvelles perspectives sur le problème. Nous discutons aussi des effets de la gravité sur le paquet d'onde atomique et de ses conséquences pour les expériences avec des atomes en chute libre. Associée à la réflexion quantique sur un miroir horizontal, la gravité permet de maintenir des particules dans des états à longue durée de vie aux applications prometteuses pour la métrologie. En particulier, nous proposons un système pour améliorer la précision de GBAR en réduisant la dispersion en vitesse des atomes d'antihydrogène<br>Collisions between ultracold atoms and material surfaces are characterized by the reflection of the atomic matter wave from the attractive Casimir-Polder potential. This quantum reflection is particularly relevant to experiments such as GBAR, which will determine the gravitational acceleration of a cold antihydrogen atom by timing its fall onto a detection plate. In this thesis, the Casimir-Polder potential is computed from the electromagnetic scattering properties of the atom and surface and it is found to depend notably on the dielectric response, thickness and density of the medium. We show that reflection on this potential is associated with a breakdown of the semiclassical approximation and that it is enhanced for slow atoms and weak potentials. Liouville transformations relate Schrödinger equations with different potential landscapes but identical scattering properties. We gain new insights on the problem of quantum reflection on a potential well by mapping it onto an equivalent problem of tunneling through a wall. We also discuss the effect of gravity on the atomic wavepacket and its implications for free fall experiments with atoms. When combined with quantum reflection from a horizontal mirror, gravity can be used to trap particles in long lived states with promising applications for metrology. In particular, we suggest a scheme to improve the precision of the GBAR experiment by reducing the velocity dispersion of the falling atoms