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Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder
by Milan Radonjić, Axel Pelster
This Submission thread is now published as
|As Contributors:||Milan Radonjic|
|Arxiv Link:||https://arxiv.org/abs/2009.10477v2 (pdf)|
|Date submitted:||2020-11-30 12:42|
|Submitted by:||Radonjic, Milan|
|Submitted to:||SciPost Physics|
We consider a time-dependent extension of a perturbative mean-field approach to the homogeneous dirty boson problem by considering how switching on and off a weak disorder potential affects the stationary state of an initially equilibrated Bose-Einstein condensate by the emergence of a disorder-induced condensate deformation. We find that in the switch on scenario the stationary condensate deformation turns out to be a sum of an equilibrium part, that actually corresponds to adiabatic switching on the disorder, and a dynamically-induced part, where the latter depends on the particular driving protocol. If the disorder is switched off afterwards, the resulting condensate deformation acquires an additional dynamically-induced part in the long-time limit, while the equilibrium part vanishes. We also present an appropriate generalization to inhomogeneous trapped condensates. Our results demonstrate that the condensate deformation represents an indicator of the generically non-equilibrium nature of steady states of a Bose gas in a temporally controlled weak disorder.
Published as SciPost Phys. 10, 008 (2021)
Submission & Refereeing History
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Reports on this Submission
Anonymous Report 2 on 2020-12-22 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2009.10477v2, delivered 2020-12-22, doi: 10.21468/SciPost.Report.2326
With this revised manuscript the authors have satisfactorily addressed most of the remarks of both Referees, and they have modified the manuscript accordingly. The only point that has been left out is the comparison with the numerical solution of the Gross-Pitevskii (GP) equation, that the authors estimate to require considerable time and extensive computational resources. I do not disagree with the authors on this, but I think that contrasting the approximate analytical approach with the exact (though numerical) GP solution would be necessary to justify publication in the flagship SciPost Physics journal. In any case, I confirm that this is a very interesting paper, very clearly written and presented, and I am pleased to recommend it for publication in SciPost Physics Core.
Anonymous Report 1 on 2020-12-18 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2009.10477v2, delivered 2020-12-18, doi: 10.21468/SciPost.Report.2311
While my previous report was already in support of publishing this interesting manuscript, I am satisfied with the authors' reply to my comments.
I think that this revised version is even slightly improved and I certainly recommend its acceptance.