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Dynamics of Hot Bose-Einstein Condensates: stochastic Ehrenfest relations for number and energy damping

by Rob G. McDonald, Peter S. Barnett, Fradom Atayee, Ashton S. Bradley

Submission summary

As Contributors: Ashton Bradley
Arxiv Link: https://arxiv.org/abs/1908.05809v1
Date submitted: 2019-08-19
Submitted by: Bradley, Ashton
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Condensed Matter Physics - Theory

Abstract

Describing high-temperature Bose gases poses a long-standing theoretical challenge. We present exact stochastic Ehrenfest relations for the stochastic projected Gross-Pitaevskii equation, including both number and energy damping mechanisms, and all projector terms that arise from the energy cutoff separating system from reservoir. Analytic solutions for the center of mass position, momentum, and their two-time correlators are in close agreement with simulations of a harmonically trapped prolate system. The formalism lays the foundation to analytically explore experimentally accessible hot Bose-Einstein condensates.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1908.05809v1 on 19 August 2019

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