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Out-of-equilibrium dynamical properties of Bose-Einstein condensates in a ramped up weak disorder
by Rodrigo P. A. Lima, Milan Radonjić, Axel Pelster
Submission summary
| Authors (as registered SciPost users): | Rodrigo Lima |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2501.01513v1 (pdf) |
| Date submitted: | 2025-01-08 14:10 |
| Submitted by: | Lima, Rodrigo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We theoretically study how the superfluid and condensate deformation of a weakly interacting ultracold Bose gas evolve during the ramp-up of an external weak disorder potential. Both resulting deformations turn out to consist of two distinct contributions, namely a reversible equilibrium one, already predicted by Huang and Meng in 1992, and a nonequilibrium dynamical one, whose magnitude depends on the details of the ramping protocol. For the specific case of the exponential ramp-up protocol, we are able to derive analytical time-dependent expressions for the above quantities. After a sufficiently long time, a steady state emerges that is generically out of equilibrium. We take the first step in investigating its properties by studying its relaxation dynamics. In addition, we analyze the two-time correlation function and elucidate its relation to the equilibrium and the dynamical part of the condensate deformation.
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