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Journal articles on the topic 'Quantum trajectories'

Author: Grafiati
Published: 4 June 2021
Last updated: 30 July 2024

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1

Błaszak, Maciej, and Ziemowit Domański. "Quantum trajectories." Physics Letters A 376, no. 47-48 (November 2012): 3593–98. http://dx.doi.org/10.1016/j.physleta.2012.10.030.

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2

Dorsselaer, F. E. van, and G. Nienhuis. "Quantum trajectories." Journal of Optics B: Quantum and Semiclassical Optics 2, no. 4 (June 21, 2000): R25—R33. http://dx.doi.org/10.1088/1464-4266/2/4/201.

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3

Dorsselaer, F. E. van, and G. Nienhuis. "Quantum trajectories generalized." Journal of Optics B: Quantum and Semiclassical Optics 2, no. 3 (May 11, 2000): L5—L9. http://dx.doi.org/10.1088/1464-4266/2/3/101.

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4

Wiseman, H. M. "Quantum trajectories and quantum measurement theory." Quantum and Semiclassical Optics: Journal of the European Optical Society Part B 8, no. 1 (February 1996): 205–22. http://dx.doi.org/10.1088/1355-5111/8/1/015.

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5

Spiller, T. P., T. D. Clark, R. J. Prance, H. Prance, and D. A. Poulton. "Coherent quantum oscillation trajectories." Foundations of Physics Letters 4, no. 1 (February 1991): 19–35. http://dx.doi.org/10.1007/bf00666414.

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6

Polzik, Eugene S., and Klemens Hammerer. "Trajectories without quantum uncertainties." Annalen der Physik 527, no. 1-2 (November 11, 2014): A15—A20. http://dx.doi.org/10.1002/andp.201400099.

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7

Yang, Ciann-Dong, and Shih-Ming Huang. "Electronic quantum trajectories in a quantum dot." International Journal of Quantum Chemistry 114, no. 14 (April 22, 2014): 920–30. http://dx.doi.org/10.1002/qua.24692.

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8

Viotti, Ludmila, Ana Laura Gramajo, Paula I. Villar, Fernando C. Lombardo, and Rosario Fazio. "Geometric phases along quantum trajectories." Quantum 7 (June 2, 2023): 1029. http://dx.doi.org/10.22331/q-2023-06-02-1029.

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A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its evolution. The phase value will be determined both by the unitary dynamics and by the interaction of the system with the environment. Consequently, the geometric phase will acquire a stochastic character due to the occurrence of random quantum jumps. Here we study the distribution function of geometric phases in monitored quantum systems and discuss when/if different quantities, proposed to measure geometric phases in open quantum systems, are representative of the distribution. We also consider a monitored echo protocol and discuss in which cases the distribution of the interference pattern extracted in the experiment is linked to the geometric phase. Furthermore, we unveil, for the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle and show how this critical behavior can be observed in an echo protocol. For the same parameters, the density matrix does not show any singularity. We illustrate all our main results by considering a paradigmatic case, a spin-1/2 immersed in time-varying a magnetic field in presence of an external environment. The major outcomes of our analysis are however quite general and do not depend, in their qualitative features, on the choice of the model studied.
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9

Peter, Patrick. "Using Trajectories in Quantum Cosmology." Universe 4, no. 8 (August 15, 2018): 89. http://dx.doi.org/10.3390/universe4080089.

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Quantum cosmology based on the Wheeler De Witt equation represents a simple way to implement plausible quantum effects in a gravitational setup. In its minisuperspace version wherein one restricts attention to FLRW metrics with a single scale factor and only a few degrees of freedom describing matter, one can obtain exact solutions and thus acquire full knowledge of the wave function. Although this is the usual way to treat a quantum mechanical system, it turns out however to be essentially meaningless in a cosmological framework. Turning to a trajectory approach then provides an effective means of deriving physical consequences.
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10

Hiley, Basil, and Peter Van Reeth. "Quantum Trajectories: Real or Surreal?" Entropy 20, no. 5 (May 8, 2018): 353. http://dx.doi.org/10.3390/e20050353.

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The claim of Kocsis et al. to have experimentally determined “photon trajectories” calls for a re-examination of the meaning of “quantum trajectories”. We will review the arguments that have been assumed to have established that a trajectory has no meaning in the context of quantum mechanics. We show that the conclusion that the Bohm trajectories should be called “surreal” because they are at “variance with the actual observed track” of a particle is wrong as it is based on a false argument. We also present the results of a numerical investigation of a double Stern-Gerlach experiment which shows clearly the role of the spin within the Bohm formalism and discuss situations where the appearance of the quantum potential is open to direct experimental exploration.
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11

BARCHIELLI, A., M. GREGORATTI, and M. LICCIARDO. "QUANTUM TRAJECTORIES, FEEDBACK AND SQUEEZING." International Journal of Quantum Information 06, supp01 (July 2008): 581–87. http://dx.doi.org/10.1142/s0219749908003815.

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Quantum trajectory theory is the best mathematical set up to model continual observations of a quantum system and feedback based on the observed output. Inside this framework, we study how to enhance the squeezing of the fluorescence light emitted by a two-level atom, stimulated by a coherent monochromatic laser. In the presence of a Wiseman-Milburn feedback scheme, based on the homodyne detection of a fraction of the emitted light, we analyze the squeezing dependence on the various control parameters.
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12

Hiley, Basil J., Maurice A. De Gosson, and Glen Dennis. "Quantum Trajectories: Dirac, Moyal and Bohm." Quanta 8, no. 1 (June 5, 2019): 11–23. http://dx.doi.org/10.12743/quanta.v8i1.84.

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We recall Dirac's early proposals to develop a description of quantum phenomena in terms of a non-commutative algebra in which he suggested a way to construct what he called quantum trajectories. Generalising these ideas, we show how they are related to weak values and explore their use in the experimental construction of quantum trajectories. We discuss covering spaces which play an essential role in accounting for the wave properties of quantum particles. We briefly point out how new mathematical techniques take us beyond Hilbert space and into a deeper structure which connects with the algebras originally introduced by Born, Heisenberg and Jordan. This enables us to bring out the geometric aspects of quantum phenomena.Quanta 2019; 8: 11–23.
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13

Gersten, Alexander, and Amnon Moalem. "Quantum corrections to classical trajectories." Journal of Physics: Conference Series 1956, no. 1 (July 1, 2021): 012013. http://dx.doi.org/10.1088/1742-6596/1956/1/012013.

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14

Carrara, Nicholas. "Quantum Trajectories in Entropic Dynamics." Proceedings 33, no. 1 (December 13, 2019): 25. http://dx.doi.org/10.3390/proceedings2019033025.

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Entropic Dynamics is a framework for deriving the laws of physics from entropic inference. In an (ED) of particles, the central assumption is that particles have definite yet unknown positions. By appealing to certain symmetries, one can derive a quantum mechanics of scalar particles and particles with spin, in which the trajectories of the particles are given by a stochastic equation. This is much like Nelson’s stochastic mechanics which also assumes a fluctuating particle as the basis of the microstates. The uniqueness of ED as an entropic inference of particles allows one to continuously transition between fluctuating particles and the smooth trajectories assumed in Bohmian mechanics. In this work we explore the consequences of the ED framework by studying the trajectories of particles in the continuum between stochastic and Bohmian limits in the context of a few physical examples, which include the double slit and Stern-Gerlach experiments.
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15

Vogelsberger, S., and D. Spehner. "Entanglement evolution for quantum trajectories." Journal of Physics: Conference Series 306 (July 8, 2011): 012029. http://dx.doi.org/10.1088/1742-6596/306/1/012029.

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16

Strunz, Walter T., Lajos Diósi, Nicolas Gisin, and Ting Yu. "Quantum Trajectories for Brownian Motion." Physical Review Letters 83, no. 24 (December 13, 1999): 4909–13. http://dx.doi.org/10.1103/physrevlett.83.4909.

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17

Coffey, T. M., R. E. Wyatt, and W. C. Schieve. "Quantum trajectories from kinematic considerations." Journal of Physics A: Mathematical and Theoretical 43, no. 33 (July 13, 2010): 335301. http://dx.doi.org/10.1088/1751-8113/43/33/335301.

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18

Xu, Feng, Li-Fei Wang, and Xiao-Dong Cui. "Quantum Interference by Entangled Trajectories." Chinese Physics Letters 32, no. 8 (August 2015): 080304. http://dx.doi.org/10.1088/0256-307x/32/8/080304.

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19

Weber, Steven J., Kater W. Murch, Mollie E. Kimchi-Schwartz, Nicolas Roch, and Irfan Siddiqi. "Quantum trajectories of superconducting qubits." Comptes Rendus Physique 17, no. 7 (August 2016): 766–77. http://dx.doi.org/10.1016/j.crhy.2016.07.007.

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20

Sanz, A. S., and F. Borondo. "Contextuality, decoherence and quantum trajectories." Chemical Physics Letters 478, no. 4-6 (August 2009): 301–6. http://dx.doi.org/10.1016/j.cplett.2009.07.061.

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21

Razavy, M. "Wigner trajectories in quantum tunneling." Physics Letters A 212, no. 3 (March 1996): 119–22. http://dx.doi.org/10.1016/0375-9601(96)00030-8.

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22

Benoist, T., M. Fraas, Y. Pautrat, and C. Pellegrini. "Invariant measure for quantum trajectories." Probability Theory and Related Fields 174, no. 1-2 (July 20, 2018): 307–34. http://dx.doi.org/10.1007/s00440-018-0862-9.

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23

Deckert, D. A., D. Dürr, and P. Pickl. "Quantum Dynamics with Bohmian Trajectories†." Journal of Physical Chemistry A 111, no. 41 (October 2007): 10325–30. http://dx.doi.org/10.1021/jp0711996.

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24

Wyatt, Robert E., Courtney L. Lopreore, and Gérard Parlant. "Electronic transitions with quantum trajectories." Journal of Chemical Physics 114, no. 12 (March 22, 2001): 5113–16. http://dx.doi.org/10.1063/1.1357203.

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25

Bauer, Michel, Denis Bernard, and Antoine Tilloy. "Zooming in on quantum trajectories." Journal of Physics A: Mathematical and Theoretical 49, no. 10 (January 29, 2016): 10LT01. http://dx.doi.org/10.1088/1751-8113/49/10/10lt01.

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26

Na, Kyungsun, and Robert E. Wyatt. "Quantum trajectories for resonant scattering." International Journal of Quantum Chemistry 81, no. 3 (2000): 206–13. http://dx.doi.org/10.1002/1097-461x(2001)81:3<206::aid-qua3>3.0.co;2-d.

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27

John, Moncy V. "Probability and complex quantum trajectories." Annals of Physics 324, no. 1 (January 2009): 220–31. http://dx.doi.org/10.1016/j.aop.2008.09.007.

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28

Daley, Andrew J. "Quantum trajectories and open many-body quantum systems." Advances in Physics 63, no. 2 (March 4, 2014): 77–149. http://dx.doi.org/10.1080/00018732.2014.933502.

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29

Griffiths, Robert B. "Consistent interpretation of quantum mechanics using quantum trajectories." Physical Review Letters 70, no. 15 (April 12, 1993): 2201–4. http://dx.doi.org/10.1103/physrevlett.70.2201.

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30

Micha, David A. "Quantum dynamics with trajectories. Introduction to quantum hydrodynamics." International Journal of Quantum Chemistry 106, no. 7 (2006): 1720. http://dx.doi.org/10.1002/qua.20945.

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31

Chiribella, Giulio, and Hlér Kristjánsson. "Quantum Shannon theory with superpositions of trajectories." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2225 (May 2019): 20180903. http://dx.doi.org/10.1098/rspa.2018.0903.

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Shannon's theory of information was built on the assumption that the information carriers were classical systems. Its quantum counterpart, quantum Shannon theory, explores the new possibilities arising when the information carriers are quantum systems. Traditionally, quantum Shannon theory has focused on scenarios where the internal state of the information carriers is quantum, while their trajectory is classical. Here we propose a second level of quantization where both the information and its propagation in space–time is treated quantum mechanically. The framework is illustrated with a number of examples, showcasing some of the counterintuitive phenomena taking place when information travels simultaneously through multiple transmission lines.
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32

Oppenheim, Jonathan, Carlo Sparaciari, Barbara Šoda, and Zachary Weller-Davies. "Objective trajectories in hybrid classical-quantum dynamics." Quantum 7 (January 3, 2023): 891. http://dx.doi.org/10.22331/q-2023-01-03-891.

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Consistent dynamics which couples classical and quantum degrees of freedom exists, provided it is stochastic. This dynamics is linear in the hybrid state, completely positive and trace preserving. One application of this is to study the back-reaction of quantum fields on space-time which does not suffer from the pathologies of the semi-classical equations. Here we introduce several toy models in which to study hybrid classical-quantum evolution, including a qubit coupled to a particle in a potential, and a quantum harmonic oscillator coupled to a classical one. We present an unravelling approach to calculate the dynamics, and provide code to numerically simulate it. Unlike the purely quantum case, the trajectories (or histories) of this unravelling can be unique, conditioned on the classical degrees of freedom for discrete realisations of the dynamics, when different jumps in the classical degrees of freedom are accompanied by the action of unique operators on the quantum system. As a result, the “measurement postulate&apos;&apos; of quantum theory is not needed; quantum systems become classical because they interact with a fundamentally classical field.
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33

FERRY, D. K., R. AKIS, and J. P. BIRD. "EDGE STATES AND TRAJECTORIES IN QUANTUM DOTS: PROBING THE QUANTUM-CLASSICAL TRANSITION." International Journal of Modern Physics B 21, no. 08n09 (April 10, 2007): 1278–87. http://dx.doi.org/10.1142/s0217979207042744.

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Edge states have been a backbone of our understanding of the experimental basis of the quantum Hall effect for quite some time. Interestingly, this comprises a quantum system with well defined currents and particle trajectories. The role of trajectories in quantum mechanics has been a problematic question of interpretation for quite some time, and the open quantum dot is a natural system in which to probe this question. Contrary to early speculation, a set of well defined quantum states survives in the open quantum dot. These states are the pointer states and provide a transition into the classical states that can be found in these structures. These states provide resonances, which are observable as oscillatory behavior in the magnetoconductance of the dots. But, they have well defined current directions within the dots. Consequently, one expects trajectories to be a property of these states as well. As one crosses from the low to the high field regime, quite steady trajectories and consequent wave functions can easily be identified and examined. In this talk, we review the current understanding and the support for the decoherence theory.
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34

Kumar, A., T. Krisnanda, P. Arumugam, and T. Paterek. "Nonclassical trajectories in head-on collisions." Quantum 5 (July 19, 2021): 506. http://dx.doi.org/10.22331/q-2021-07-19-506.

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Rutherford scattering is usually described by treating the projectile either classically or as quantum mechanical plane waves. Here we treat them as wave packets and study their head-on collisions with the stationary target nuclei. We simulate the quantum dynamics of this one-dimensional system and study deviations of the average quantum solution from the classical one. These deviations are traced back to the convexity properties of Coulomb potential. Finally, we sketch how these theoretical findings could be tested in experiments looking for the onset of nuclear reactions.
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35

Dürr, Detlef, Sheldon Goldstein, and Nino Zanghi. "Comment on "Surrealistic Bohm Trajectories"." Zeitschrift für Naturforschung A 48, no. 12 (December 1, 1993): 1261–62. http://dx.doi.org/10.1515/zna-1993-1219.

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Abstract From the perspective of orthodox quantum theory, no meaning can be assigned to the notion of the "slit" through which the atom passed in the experiments under discussion in this paper. From a Bohmian perspective this notion does have meaning. Moreover, when we compare the answer provided by BM with the answer provided, not by orthodox quantum theory, but by a naive, largely incoherent operationalism, we obtain different answers. So what?
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36

DELIS, N., C. EFTHYMIOPOULOS, and G. CONTOPOULOS. "QUANTUM VORTICES AND TRAJECTORIES IN PARTICLE DIFFRACTION." International Journal of Bifurcation and Chaos 22, no. 09 (September 2012): 1250214. http://dx.doi.org/10.1142/s0218127412502148.

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We investigate the phenomenon of the diffraction of charged particles by thin material targets using the method of the de Broglie–Bohm quantum trajectories. The particle wave function can be modeled as a sum of two terms ψ = ψ ingoing + ψ outgoing . A thin separator exists between the domains of prevalence of the ingoing and outgoing wavefunction terms. The structure of the quantum-mechanical currents in the neighborhood of the separator implies the formation of an array of quantum vortices. The flow structure around each vortex displays a characteristic pattern called "nodal point–X point complex". The X point gives rise to stable and unstable manifolds. We find the scaling laws characterizing a nodal point–X point complex by a local perturbation theory around the nodal point. We then analyze the dynamical role of vortices in the emergence of the diffraction pattern. In particular, we demonstrate the abrupt deflections, along the direction of the unstable manifold, of the quantum trajectories approaching an X-point along its stable manifold. Theoretical results are compared to numerical simulations of quantum trajectories. We finally calculate the times of flight of particles following quantum trajectories from the source to detectors placed at various scattering angles θ, and thereby propose an experimental test of the de Broglie–Bohm formalism.
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37

Yang, Ciann-Dong, and Shiang-Yi Han. "Tunneling Quantum Dynamics in Ammonia." International Journal of Molecular Sciences 22, no. 15 (July 31, 2021): 8282. http://dx.doi.org/10.3390/ijms22158282.

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Ammonia is a well-known example of a two-state system and must be described in quantum-mechanical terms. In this article, we will explain the tunneling phenomenon that occurs in ammonia molecules from the perspective of trajectory-based quantum dynamics, rather than the usual quantum probability perspective. The tunneling of the nitrogen atom through the potential barrier in ammonia is not merely a probability problem; there are underlying reasons and mechanisms explaining why and how the tunneling in ammonia can happen. Under the framework of quantum Hamilton mechanics, the tunneling motion of the nitrogen atom in ammonia can be described deterministically in terms of the quantum trajectories of the nitrogen atom and the quantum forces applied. The vibrations of the nitrogen atom about its two equilibrium positions are analyzed in terms of its quantum trajectories, which are solved from the Hamilton equations of motion. The vibration periods are then computed by the quantum trajectories and compared with the experimental measurements.
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38

Murch, K. W., S. J. Weber, C. Macklin, and I. Siddiqi. "Observing single quantum trajectories of a superconducting quantum bit." Nature 502, no. 7470 (October 2013): 211–14. http://dx.doi.org/10.1038/nature12539.

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39

Gindensperger, E., C. Meier, and J. A. Beswick. "Quantum-classical dynamics including continuum states using quantum trajectories." Journal of Chemical Physics 116, no. 1 (2002): 8. http://dx.doi.org/10.1063/1.1415452.

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40

Anderson, Michelle C., Addison J. Schile, and David T. Limmer. "Nonadiabatic transition paths from quantum jump trajectories." Journal of Chemical Physics 157, no. 16 (October 28, 2022): 164105. http://dx.doi.org/10.1063/5.0102891.

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We present a means of studying rare reactive pathways in open quantum systems using transition path theory and ensembles of quantum jump trajectories. This approach allows for the elucidation of reactive paths for dissipative, nonadiabatic dynamics when the system is embedded in a Markovian environment. We detail the dominant pathways and rates of thermally activated processes and the relaxation pathways and photoyields following vertical excitation in a minimal model of a conical intersection. We find that the geometry of the conical intersection affects the electronic character of the transition state as defined through a generalization of a committor function for a thermal barrier crossing event. Similarly, the geometry changes the mechanism of relaxation following a vertical excitation. Relaxation in models resulting from small diabatic coupling proceeds through pathways dominated by pure dephasing, while those with large diabatic coupling proceed through pathways limited by dissipation. The perspective introduced here for the nonadiabatic dynamics of open quantum systems generalizes classical notions of reactive paths to fundamentally quantum mechanical processes.
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41

Vitiello, Giuseppe. "Classical trajectories and quantum field theory." Brazilian Journal of Physics 35, no. 2a (June 2005): 351–58. http://dx.doi.org/10.1590/s0103-97332005000200021.

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42

Małkiewicz, Przemysław, Patrick Peter, and Sandro Dias Pinto Vitenti. "Clocks and Trajectories in Quantum Cosmology." Universe 8, no. 2 (January 26, 2022): 71. http://dx.doi.org/10.3390/universe8020071.

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We consider a simple cosmological model consisting of an empty Bianchi I Universe, whose Hamiltonian we deparametrise to provide a natural clock variable. The model thus effectively describes an isotropic universe with an induced clock given by the shear. By quantising this model, we obtain various different possible bouncing trajectories (semiquantum expectation values on coherent states or obtained by the de Broglie–Bohm formulation) and explicit their clock dependence, specifically emphasising the question of symmetry across the bounce.
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43

Curchod, Basile F. E., Ursula Rothlisberger, and Ivano Tavernelli. "Excited State Dynamics with Quantum Trajectories." CHIMIA International Journal for Chemistry 66, no. 4 (April 25, 2012): 174–77. http://dx.doi.org/10.2533/chimia.2012.174.

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44

Lopreore, Courtney L., and Robert E. Wyatt. "Quantum Wave Packet Dynamics with Trajectories." Physical Review Letters 82, no. 26 (June 28, 1999): 5190–93. http://dx.doi.org/10.1103/physrevlett.82.5190.

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45

Belavkin, V. P. "Quantum causality, stochastics, trajectories and information." Reports on Progress in Physics 65, no. 3 (February 20, 2002): 353–420. http://dx.doi.org/10.1088/0034-4885/65/3/201.

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46

Lopreore, Courtney L., and Robert E. Wyatt. "Electronic transitions with quantum trajectories. II." Journal of Chemical Physics 116, no. 4 (January 22, 2002): 1228–38. http://dx.doi.org/10.1063/1.1427916.

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47

Dima, M. "Quantum particle trajectories and geometric phase." Journal of Experimental and Theoretical Physics Letters 72, no. 11 (December 2000): 541–45. http://dx.doi.org/10.1134/1.1348476.

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48

Brun, Todd A. "A simple model of quantum trajectories." American Journal of Physics 70, no. 7 (July 2002): 719–37. http://dx.doi.org/10.1119/1.1475328.

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49

Bittner, Eric R. "Quantum tunneling dynamics using hydrodynamic trajectories." Journal of Chemical Physics 112, no. 22 (June 8, 2000): 9703–10. http://dx.doi.org/10.1063/1.481607.

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50

Maddox, Jeremy B., and Eric R. Bittner. "Quantum relaxation dynamics using Bohmian trajectories." Journal of Chemical Physics 115, no. 14 (October 8, 2001): 6309–16. http://dx.doi.org/10.1063/1.1394747.

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