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Non-linear dynamics of a double-well Bose-Einstein condensate-reservoirs system

We investigate the dynamics of a Bose–Einstein condensate (BEC) confined within a symmetric double-well trap out-coupled to reservoirs. Our model is based on the quantum Heisenberg–Langevin approach. Dissipation in the system is induced by the interaction of condensate bosons with the reservoir whic...

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Main Authors: Rajagopal, Kalai Kumar, Ibragimov, Gafurjan
Format: Article
Language:English
Published: Springer 2020
Online Access:http://psasir.upm.edu.my/id/eprint/86917/1/Non-linear%20dynamics%20of.pdf
http://psasir.upm.edu.my/id/eprint/86917/
https://link.springer.com/article/10.1007/s13538-019-00728-8
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spelling my.upm.eprints.869172022-01-03T04:14:14Z http://psasir.upm.edu.my/id/eprint/86917/ Non-linear dynamics of a double-well Bose-Einstein condensate-reservoirs system Rajagopal, Kalai Kumar Ibragimov, Gafurjan We investigate the dynamics of a Bose–Einstein condensate (BEC) confined within a symmetric double-well trap out-coupled to reservoirs. Our model is based on the quantum Heisenberg–Langevin approach. Dissipation in the system is induced by the interaction of condensate bosons with the reservoir which determines the Markovian and non-Markovian operational dynamics. These distinct dynamics correspond directly to the choice of function used in the dissipation kernel of the quantum Langevin equation. The main focus of this work is to study non-Markovian dynamics of the system proliferated by the use of Ornstein–Uhlenbeck (OU) memory function. Comparison is made with the Markovian dynamics induced by the use of δ-memory-less function. We have calculated numerically the time evolution of population imbalance and tunneling current of the system and found dissipation destroys the regular pattern of the two-mode BEC phases. Comparison between dissipative models shows significant differences in their dynamics, particularly in the strongly interacting case. Springer 2020-01-21 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86917/1/Non-linear%20dynamics%20of.pdf Rajagopal, Kalai Kumar and Ibragimov, Gafurjan (2020) Non-linear dynamics of a double-well Bose-Einstein condensate-reservoirs system. Brazilian Journal of Physics, 50. 178 - 184. ISSN 0103-9733; ESSN: 1678-4448 https://link.springer.com/article/10.1007/s13538-019-00728-8 10.1007/s13538-019-00728-8
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description We investigate the dynamics of a Bose–Einstein condensate (BEC) confined within a symmetric double-well trap out-coupled to reservoirs. Our model is based on the quantum Heisenberg–Langevin approach. Dissipation in the system is induced by the interaction of condensate bosons with the reservoir which determines the Markovian and non-Markovian operational dynamics. These distinct dynamics correspond directly to the choice of function used in the dissipation kernel of the quantum Langevin equation. The main focus of this work is to study non-Markovian dynamics of the system proliferated by the use of Ornstein–Uhlenbeck (OU) memory function. Comparison is made with the Markovian dynamics induced by the use of δ-memory-less function. We have calculated numerically the time evolution of population imbalance and tunneling current of the system and found dissipation destroys the regular pattern of the two-mode BEC phases. Comparison between dissipative models shows significant differences in their dynamics, particularly in the strongly interacting case.
format Article
author Rajagopal, Kalai Kumar
Ibragimov, Gafurjan
spellingShingle Rajagopal, Kalai Kumar
Ibragimov, Gafurjan
Non-linear dynamics of a double-well Bose-Einstein condensate-reservoirs system
author_facet Rajagopal, Kalai Kumar
Ibragimov, Gafurjan
author_sort Rajagopal, Kalai Kumar
title Non-linear dynamics of a double-well Bose-Einstein condensate-reservoirs system
title_short Non-linear dynamics of a double-well Bose-Einstein condensate-reservoirs system
title_full Non-linear dynamics of a double-well Bose-Einstein condensate-reservoirs system
title_fullStr Non-linear dynamics of a double-well Bose-Einstein condensate-reservoirs system
title_full_unstemmed Non-linear dynamics of a double-well Bose-Einstein condensate-reservoirs system
title_sort non-linear dynamics of a double-well bose-einstein condensate-reservoirs system
publisher Springer
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/86917/1/Non-linear%20dynamics%20of.pdf
http://psasir.upm.edu.my/id/eprint/86917/
https://link.springer.com/article/10.1007/s13538-019-00728-8
_version_ 1724075478583607296
score 13.211869

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