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

Billam, T.P. and Mason, P. and Gardiner, S.A. (2013) 'Second-order number-conserving description of nonequilibrium dynamics in finite-temperature Bose-Einstein condensates.', Physical review A., 87 (3). 033628.

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.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1103/PhysRevA.87.033628
Publisher statement:© 2013 American Physical Society
Date accepted:No date available
Date deposited:05 February 2014
Date of first online publication:March 2013
Date first made open access:No date available

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