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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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/11/1409 |
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| author | Alexei D. Kiselev Ranim Ali Andrei V. Rybin |
| author_facet | Alexei D. Kiselev Ranim Ali Andrei V. Rybin |
| author_sort | Alexei D. Kiselev |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T05:31:31Z |
| format | Article |
| id | doaj.art-6d607c35e0084196bf4dbadd26c635ed |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T05:31:31Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-6d607c35e0084196bf4dbadd26c635ed2023-11-22T23:14:33ZengMDPI AGEntropy1099-43002021-10-012311140910.3390/e23111409Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic SystemsAlexei D. Kiselev0Ranim Ali1Andrei V. Rybin2Laboratory of Quantum Processes and Measurements, ITMO University, Kadetskaya Line 3b, 199034 Saint Petersburg, RussiaFaculty of Photonics, ITMO University, Kronverksky Pr. 49, bldg. A, 197101 Saint Petersburg, RussiaCenter of Information Optical Technology, ITMO University, Birzhevaya Line 14a, 199034 Saint Petersburg, RussiaIn 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.https://www.mdpi.com/1099-4300/23/11/1409open quantum systemsLindblad equationdisentanglement |
| spellingShingle | Alexei D. Kiselev Ranim Ali Andrei V. Rybin Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems Entropy open quantum systems Lindblad equation disentanglement |
| title | 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_short | Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems |
| title_sort | lindblad dynamics and disentanglement in multi mode bosonic systems |
| topic | open quantum systems Lindblad equation disentanglement |
| url | https://www.mdpi.com/1099-4300/23/11/1409 |
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