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Relevant bibliographies by topics / Lindblad equation

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Academic literature on the topic 'Lindblad equation'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 June 2024

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Journal articles on the topic "Lindblad equation"

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Tarasov, Vasily E. "Quantum Maps with Memory from Generalized Lindblad Equation." Entropy 23, no. 5 (2021): 544. http://dx.doi.org/10.3390/e23050544.

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In this paper, we proposed the exactly solvable model of non-Markovian dynamics of open quantum systems. This model describes open quantum systems with memory and periodic sequence of kicks by environment. To describe these systems, the Lindblad equation for quantum observable is generalized by taking into account power-law fading memory. Dynamics of open quantum systems with power-law memory are considered. The proposed generalized Lindblad equations describe non-Markovian quantum dynamics. The quantum dynamics with power-law memory are described by using integrations and differentiation of n

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Fagnola, Franco, and Carlos M. Mora. "Basic Properties of a Mean Field Laser Equation." Open Systems & Information Dynamics 26, no. 03 (2019): 1950015. http://dx.doi.org/10.1142/s123016121950015x.

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We study the nonlinear quantum master equation describing a laser under the mean field approximation. The quantum system is formed by a single mode optical cavity and two level atoms, which interact with reservoirs. Namely, we establish the existence and uniqueness of the regular solution to the nonlinear operator equation under consideration, as well as we get a probabilistic representation for this solution in terms of a mean field stochastic Schrödinger equation. To this end, we find a regular solution for the nonautonomous linear quantum master equation in Gorini–Kossakowski–Sudarshan–Lind

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ISAR, A., A. SANDULESCU, H. SCUTARU, E. STEFANESCU, and W. SCHEID. "OPEN QUANTUM SYSTEMS." International Journal of Modern Physics E 03, no. 02 (1994): 635–714. http://dx.doi.org/10.1142/s0218301394000164.

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The damping of the harmonic oscillator is studied in the framework of the Lindblad theory for open quantum systems. A generalization of the fundamental constraints on quantum mechanical diffusion coefficients which appear in the master equation for the damped quantum oscillator is presented; the Schrödinger, Heisenberg and Weyl-Wigner-Moyal representations of the Lindblad equation are given explicitly. On the basis of these representations it is shown that various master equations for the damped quantum oscillator used in the literature are particular cases of the Lindblad equation and that no

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Pearle, Philip. "Simple derivation of the Lindblad equation." European Journal of Physics 33, no. 4 (2012): 805–22. http://dx.doi.org/10.1088/0143-0807/33/4/805.

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Kostyakov, I. V., V. V. Kuratov, and N. A. Gromov. "Lie algebra contractions and the Lindblad equation." Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences 6 (2021): 36–41. http://dx.doi.org/10.19110/1994-5655-2021-6-36-41.

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The dynamics of an open quantum system leads to decoherence, which is accompanied by limiting transitions in the Lie algebra of observables and appearance of abelian subalgebras. It is possible to set an inverse problem as well – by a given Lie algebra contraction to find the dynamics of an open quantum system given by the Lindblad equation. The paper proposes examples of finding the Lindblad equation by the known contractions of algebra su(3).

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Karabanov, A. A. "Symmetry reductions of Lindblad equations – simple examples and applications." Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences 6 (2021): 49–52. http://dx.doi.org/10.19110/1994-5655-2021-6-49-52.

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Open quantum dynamics in the Markovian approximation is described by the Lindblad master equation. The Lindbladian dynamics is closed in the Lie algebra Λ = su(n), i.e. it has su(n) symmetry. We say that the Lindblad equation admits a symmetry reduction if it has an invariant vector subspace Λ0 ⊂Λ with the Lie algebraic structure. Symmetry reductions restrict dynamics to smaller subspaces that additionally are Lie algebras. In these notes, trivial reductions relying onthe reducibility of the Hamiltonian and Lindblad operators are described. Examples of nontrivial reductions in the infinite tem

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FUJII, KAZUYUKI. "ALGEBRAIC STRUCTURE OF A MASTER EQUATION WITH GENERALIZED LINDBLAD FORM." International Journal of Geometric Methods in Modern Physics 05, no. 07 (2008): 1033–40. http://dx.doi.org/10.1142/s0219887808003168.

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The quantum damped harmonic oscillator is described by the master equation with usual Lindblad form. The equation has been solved completely by us in arXiv: 0710.2724 [quant-ph]. To construct the general solution a few facts of representation theory based on the Lie algebra su(1,1) were used. In this paper we treat a general model described by a master equation with generalized Lindblad form. Then we examine the algebraic structure related to some Lie algebras and construct the interesting approximate solution.

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Vacchini, Bassano. "General structure of quantum collisional models." International Journal of Quantum Information 12, no. 02 (2014): 1461011. http://dx.doi.org/10.1142/s0219749914610115.

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We point to the connection between a recently introduced class of non-Markovian master equations and the general structure of quantum collisional models. The basic construction relies on three basic ingredients: a collection of time dependent completely positive maps, a completely positive trace preserving transformation and a waiting time distribution characterizing a renewal process. The relationship between this construction and a Lindblad dynamics is clarified by expressing the solution of a Lindblad master equation in terms of demixtures over different stochastic trajectories for the stat

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Binney, James. "Angle-action variables for orbits trapped at a Lindblad resonance." Monthly Notices of the Royal Astronomical Society 495, no. 1 (2020): 886–94. http://dx.doi.org/10.1093/mnras/staa092.

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ABSTRACT The conventional approach to orbit trapping at Lindblad resonances via a pendulum equation fails when the parent of the trapped orbits is too circular. The problem is explained and resolved in the context of the Torus Mapper and a realistic Galaxy model. Tori are computed for orbits trapped at both the inner and outer Lindblad resonances of our Galaxy. At the outer Lindblad resonance, orbits are quasi-periodic and can be accurately fitted by torus mapping. At the inner Lindblad resonance, orbits are significantly chaotic although far from ergodic, and each orbit explores a small range

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Ou, Congjie, Yuho Yokoi, and Sumiyoshi Abe. "Spin Isoenergetic Process and the Lindblad Equation." Entropy 21, no. 5 (2019): 503. http://dx.doi.org/10.3390/e21050503.

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A general comment is made on the existence of various baths in quantum thermodynamics, and a brief explanation is presented about the concept of weak invariants. Then, the isoenergetic process is studied for a spin in a magnetic field that slowly varies in time. In the Markovian approximation, the corresponding Lindbladian operators are constructed without recourse to detailed information about the coupling of the subsystem with the environment called the energy bath. The entropy production rate under the resulting Lindblad equation is shown to be positive. The leading-order expressions of the

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Dissertations / Theses on the topic "Lindblad equation"

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Debierre, Vincent. "La fonction d'onde du photon en principe et en pratique." Thesis, Ecole centrale de Marseille, 2015. http://www.theses.fr/2015ECDM0004/document.

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Pendant ces trois ans, nous nous sommes intéressés à quelques sujets choisis en optique et en électrodynamique quantiques. Le fil rouge de nos interrogations est la fonction d’onde du photon. Les expériences d’optique et d’électrodynamique quantique peuvent-elles être décrites de manière simple, dans l’espace des positions, à l’aide d’une fonction d’onde décrivant le ou les photon(s) impliqués dans l’expérience ? Ce n’est pas entièrement évident :la description usuelle des photons se fait dans l’espace réciproque des vecteurs d’onde. Mais ces expériences gagnent à être décrites par la mécaniqu

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Lindblad, Petersen Oliver [Verfasser], and Christian [Akademischer Betreuer] Bär. "The Cauchy problem for the linearised Einstein equation and the Goursat problem for wave equations / Oliver Lindblad Petersen ; Betreuer: Christian Bär." Potsdam : Universität Potsdam, 2018. http://d-nb.info/1219149489/34.

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Zuo, Xingdong. "Derivation of the Lindblad Equation for Open Quantum Systems and Its Application to Mathematical Modeling of the Process of Decision Making." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-38711.

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In the theory of open quantum systems, a quantum Markovian master equation, the Lindblad equation, reveals the most general form for the generators of a quantum dynamical semigroup. In this thesis, we present the derivation of the Lindblad equation and several examples of Lindblad equations with their analytic and numerical solutions. The graphs of the numerical solutions illuminate the dynamics and the stabilization as time increases. The corresponding von Neumann entropies are also presented as graphs. Moreover, to illustrate the difference between the dynamics of open and isolated systems,

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Pinna, Lorenzo. "On the controllability of the quantum dynamics of closed and open systems." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLX017/document.

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On etudie la contrôlabilité des systèmes quantiques dans deux contextes différents: le cadre standard fermé, dans lequel un système quantique est considéré comme isolé et le problème de contrôle est formulé sur l'équation de Schrödinger; le cadre ouvert qui décrit un système quantique en interaction avec un plus grand, dont seuls les paramètres qualitatifs sont connus, au moyen de l'équation de Lindblad sur les états.Dans le contexte des systèmes fermés on se focalise sur la classe intéressante des systèmes spin-boson, qui décrivent l'interaction entre un système quantique à deux niveaux et un

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Gozzi, Riccardo. "Open dynamics of su(3) quantum systems." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/12395/.

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Questo lavoro di tesi nasce con lo scopo di fornire una inquadratura generale del campo di studi relativo ad i sistemi quantistici aperti. Esattamente come avviene nel caso della termodinamica, questo tipo di approfondimento vuole tenere conto delle interazioni che un qualunque sistema quantistico può sviluppare con l'ambiente esterno. La prima parte del lavoro intende introdurre il lettore all'argomento; in queste prime sezioni si trattano anche alcuni argomenti più concettuali di rilevanza prettamente fisica, come ad esempio il fenomeno dell'entanglement o del quantum eraser. La seconda

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Brasil, Carlos Alexandre. "Descrição de medidas em sistemas de 2 níveis pela equação de Lindblad com inclusão de ambiente." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/76/76131/tde-12032012-080819/.

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O objetivo deste trabalho é explorar um modelo para medidas quânticas de duração finita baseado na equação de Lindblad, com a análise de um sistema de 2 níveis acoplado a um reservatório térmico que ocasiona decoerência. A interação entre o sistema e o dispositivo de medida é markoviana, justificando o uso da equação de Lindblad para obter a dinâmica do processo de medida. Para analisar a influência do ambiente/reservatório térmico não-markoviano, cuja definição não inclui o aparato de medida, foi utilizada a abordagem de Redfield para a interação entre o sistema e o ambiente. Na teoria híbrid

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Bystrik, Y. "Driven anharmonic oscillator: classical and quantum analysis." Thesis, Sumy State University, 2016. http://essuir.sumdu.edu.ua/handle/123456789/46814.

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The existence of a perfectly isolated quantum system is impossible. In reality, no quantum system is completely isolated from its surroundings, so every quantum system is open to some extent. The dynamics of any open quantum system is described by Lindblad equation [1].

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Ribeiro, Wellington Luiz. "Evolution of a 1D bipartite fermionic chain under in?uence of a phenomenological dephasing." reponame:Repositório Institucional da UFABC, 2018.

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Orientador: Prof. Dr. Gabriel Teixeira Landi<br>Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Física, Santo André, 2018.<br>Em sistemas microscópicos, grandezas como calor e trabalho devem ser tratadas como variáveis aleatórias. Neste trabalho foram estudados os fluxos de calor e de partículas entre dois sistemas unidimensionais fermiônicos A eB, inicialmente preparados separadamente em equilíbrio térmico com reservatórios de calor e partículas preparados a diferentes temperaturas e diferentes potenciais químicos. Calculando a evolução da matriz densidade

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Ermakova, Natalia. "Signatures of topological phases in an open Kitaev chain." Thesis, KTH, Fysik, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-300177.

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Some physical systems exhibit topological properties in the form of topological invariants— features of the system that remain constant unless the system undergoessignificant changes i.e. changes that require closing the energy gap of the Hamiltonian.This work studies one example of a system with topological properties — a Kitaevchain. Here, this model is studied when it is coupled to an environment. We studythe effect of the coupling on the topology of the system and attempt to find signaturesof topological phases in the dynamics of the system. By using the Lindblad equationdefined in the for

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Schlesinger, Martin. "Quantum Dissipative Dynamics and Decoherence of Dimers on Helium Droplets." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-82729.

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In this thesis, quantum dynamical simulations are performed in order to describe the vibrational motion of diatomic molecules in a highly quantum environment, so-called helium droplets. We aim to reproduce and explain experimental findings which were obtained from dimers on helium droplets. Nanometer-sized helium droplets contain several thousands of 4-He atoms. They serve as a host for embedded atoms or molecules and provide an ultracold “refrigerator” for them. Spectroscopy of molecules in or on these droplets reveals information on both the molecule and the helium environment. The droplets

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Books on the topic "Lindblad equation"

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Kavokin, Alexey V., Jeremy J. Baumberg, Guillaume Malpuech, and Fabrice P. Laussy. Quantum description of light–matter coupling. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198782995.003.0005.

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In this chapter we study with the tools developed in Chapter 3 the basic models that are the foundations of light–matter interaction. We start with Rabi dynamics, then consider the optical Bloch equations that add phenomenologically the lifetime of the populations. As decay and pumping are often important, we cover the Lindblad form, a correct, simple and powerful way to describe various dissipation mechanisms. Then we go to a full quantum picture, quantizing also the optical field. We first investigate the simpler coupling of bosons and then culminate with the Jaynes–Cummings model and its so

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Book chapters on the topic "Lindblad equation"

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Haba, Zbigniew. "Lindblad equation and stochastic Schrödinger equation." In Feynman Integral and Random Dynamics in Quantum Physics. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4716-3_12.

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Soto-Eguibar, Francisco, Braulio Misael Villegas-Martínez, and Héctor Manuel Moya-Cessa. "The Matrix Perturbation Method for the Lindblad Master Equation." In The Matrix Perturbation Method in Quantum Mechanics. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-48546-6_6.

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Chattah, A. Karina, and Manuel O. Cáceres. "Computing the quantum Boltzmann equation from a Kossakowski-Lindblad generator." In Nonlinear Phenomena and Complex Systems. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2149-7_11.

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Bertlmann, Reinhold A., and Nicolai Friis. "Open Quantum Systems, Decoherence, Atom-Field Coupling." In Modern Quantum Theory. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780199683338.003.0022.

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Abstract Chapter 22 investigates the dynamics of open quantum systems that interact with their environment. We discuss the time-evolution of the joint system in terms of a time-ordered exponential of an integral over the Hamiltonian and determine a similar formulation for a Liouvillian super-operator. Based on these ideas we develop the notion of dynamical maps and apply the Born-Markov approximation to arrive at a dynamical semi-group and general Markovian master equations. We then turn to a specific example of such an equation of motion for the density operator: the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) equation which captures both dissipative dynamics and decoherence using Lindblad operators. We employ the GKLS equation to model the absorption, and spontaneous as well as stimulated emission of radiation by a two-level atom. We then discuss the Jaynes-Cummings model that describes the interaction of such an atom with a single mode of the electromagnetic field in a cavity

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Eichler, Alexander, and Oded Zilberberg. "From Closed to Open Quantum Systems." In Classical and Quantum Parametric Phenomena. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780192862709.003.0010.

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Abstract In this chapter, we generalize our treatment of quantum systems by allowing them to be coupled to an environment at a finite temperature, similar to what we discussed for classical systems in chapter 4. The time evolution of many open quantum system can be calculated using the Lindblad master equation. We study various effects of the thermal environment on the quantum harmonic oscillator, and then continue to include driving by an external force

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Conference papers on the topic "Lindblad equation"

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Riesch, Michael, Alek Pikl, and Christian Jirauschek. "Completely Positive Trace Preserving Methods for the Lindblad Equation." In 2020 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD). IEEE, 2020. http://dx.doi.org/10.1109/nusod49422.2020.9217670.

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Ribeiro, P., and V. R. Vieira. "NON-MARKOVIAN EFFECTS IN THE LINDBLAD MASTER EQUATION APPROACH TO ELECTRONIC TRANSPORT." In 11th International School on Theoretical Physics. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814740371_0005.

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Anastopoulos, C., S. Shresta, and B. L. Hu. "Quantum Entanglement under Non-Markovian Dynamics of Two Qubits Interacting with a Common Electromagnetic Field*." In Workshop on Entanglement and Quantum Decoherence. Optica Publishing Group, 2008. http://dx.doi.org/10.1364/weqd.2008.eoqs2.

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We study the non-equilibrium dynamics of a pair of qubits made of two-level atoms separated in space with distance r and interacting with one common electromagnetic field but not directly with each other. Our calculation makes a weak coupling assumption, but no Born or Markov approximation. We derived a non-Markovian master equation for the evolution of the reduced density matrix of the two-qubit system after integrating out the electromagnetic field modes. It contains a Markovian part with a Lindblad type operator and a nonMarkovian contribution, the physics of which is the main focus of this

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Azouit, R., A. Sarlette, and P. Rouchon. "Adiabatic elimination for open quantum systems with effective Lindblad master equations." In 2016 IEEE 55th Conference on Decision and Control (CDC). IEEE, 2016. http://dx.doi.org/10.1109/cdc.2016.7798963.

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Rouchon, Pierre, and Alain Sarlette. "Contraction and stability analysis of steady-states for open quantum systems described by Lindblad differential equations." In 2013 IEEE 52nd Annual Conference on Decision and Control (CDC). IEEE, 2013. http://dx.doi.org/10.1109/cdc.2013.6760928.

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Reports on the topic "Lindblad equation"

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Spahn, G. Parallel-in-Time Simulation of Lindblad's Equation. Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1647923.

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