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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2021
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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) |
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open quantum systems Lindblad equation disentanglement Science Q Astrophysics QB460-466 Physics QC1-999 |
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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 |
work_keys_str_mv |
AT alexeidkiselev lindbladdynamicsanddisentanglementinmultimodebosonicsystems AT ranimali lindbladdynamicsanddisentanglementinmultimodebosonicsystems AT andreivrybin lindbladdynamicsanddisentanglementinmultimodebosonicsystems |
_version_ |
1718412290844262400 |