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Second-order number-conserving description of nonequilibrium dynamics in finite-temperature Bose-Einstein condensates

Billam, T.P.; Mason, P.; Gardiner, S.A.

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Authors

T.P. Billam

P. Mason



Abstract

While the Gross-Pitaevskii equation is well established as the canonical dynamical description of atomic Bose-Einstein condensates (BECs) at zero temperature, describing the dynamics of BECs at finite temperatures remains a difficult theoretical problem, particularly when considering low-temperature, nonequilibrium systems in which depletion of the condensate occurs dynamically as a result of external driving. In this paper, we describe a fully time-dependent numerical implementation of a second-order, number-conserving description of finite-temperature BEC dynamics. This description consists of equations of motion describing the coupled dynamics of the condensate and noncondensate fractions in a self-consistent manner, and is ideally suited for the study of low-temperature, nonequilibrium, driven systems. The δ-kicked-rotor BEC provides a prototypical example of such a system, and we demonstrate the efficacy of our numerical implementation by investigating its dynamics at finite temperature. We demonstrate that the qualitative features of the system dynamics at zero temperature are generally preserved at finite temperatures, and predict a quantitative finite-temperature shift of resonance frequencies which would be relevant for, and could be verified by, future experiments.

Citation

Billam, T., Mason, P., & Gardiner, S. (2013). Second-order number-conserving description of nonequilibrium dynamics in finite-temperature Bose-Einstein condensates. Physical Review A, 87(3), Article 033628. https://doi.org/10.1103/physreva.87.033628

Journal Article Type Article
Publication Date Mar 27, 2013
Deposit Date Apr 12, 2013
Publicly Available Date Mar 29, 2024
Journal Physical Review A
Print ISSN 1050-2947
Electronic ISSN 1094-1622
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 87
Issue 3
Article Number 033628
DOI https://doi.org/10.1103/physreva.87.033628

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Copyright Statement
© 2013 American Physical Society





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