Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems

In this paper, we consider the thermal bath Lindblad master equation to describe the quantum nonunitary dynamics of quantum states in a multi-mode bosonic system. For the two-mode bosonic system interacting with an environment, we analyse how both the coupling between the modes and the coupling with...

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Autores principales: Alexei D. Kiselev, Ranim Ali, Andrei V. Rybin
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Lenguaje:EN
Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:6d607c35e0084196bf4dbadd26c635ed2021-11-25T17:29:26ZLindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems10.3390/e231114091099-4300https://doaj.org/article/6d607c35e0084196bf4dbadd26c635ed2021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1409https://doaj.org/toc/1099-4300In this paper, we consider the thermal bath Lindblad master equation to describe the quantum nonunitary dynamics of quantum states in a multi-mode bosonic system. For the two-mode bosonic system interacting with an environment, we analyse how both the coupling between the modes and the coupling with the environment characterised by the frequency and the relaxation rate vectors affect dynamics of the entanglement. We discuss how the revivals of entanglement can be induced by the dynamic coupling between the different modes. For the system, initially prepared in a two-mode squeezed state, we find the logarithmic negativity as defined by the magnitude and orientation of the frequency and the relaxation rate vectors. We show that, in the regime of finite-time disentanglement, reorientation of the relaxation rate vector may significantly increase the time of disentanglement.Alexei D. KiselevRanim AliAndrei V. RybinMDPI AGarticleopen quantum systemsLindblad equationdisentanglementScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1409, p 1409 (2021)
institution DOAJ
collection DOAJ
language EN
topic open quantum systems
Lindblad equation
disentanglement
Science
Q
Astrophysics
QB460-466
Physics
QC1-999
spellingShingle open quantum systems
Lindblad equation
disentanglement
Science
Q
Astrophysics
QB460-466
Physics
QC1-999
Alexei D. Kiselev
Ranim Ali
Andrei V. Rybin
Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems
description In this paper, we consider the thermal bath Lindblad master equation to describe the quantum nonunitary dynamics of quantum states in a multi-mode bosonic system. For the two-mode bosonic system interacting with an environment, we analyse how both the coupling between the modes and the coupling with the environment characterised by the frequency and the relaxation rate vectors affect dynamics of the entanglement. We discuss how the revivals of entanglement can be induced by the dynamic coupling between the different modes. For the system, initially prepared in a two-mode squeezed state, we find the logarithmic negativity as defined by the magnitude and orientation of the frequency and the relaxation rate vectors. We show that, in the regime of finite-time disentanglement, reorientation of the relaxation rate vector may significantly increase the time of disentanglement.
format article
author Alexei D. Kiselev
Ranim Ali
Andrei V. Rybin
author_facet Alexei D. Kiselev
Ranim Ali
Andrei V. Rybin
author_sort Alexei D. Kiselev
title Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems
title_short Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems
title_full Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems
title_fullStr Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems
title_full_unstemmed Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems
title_sort lindblad dynamics and disentanglement in multi-mode bosonic systems
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/6d607c35e0084196bf4dbadd26c635ed
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