Out-of-equilibrium dynamical properties of Bose-Einstein condensates in a ramped up weak disorder
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908771405529088 |
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| author | Lima, Rodrigo P. A. Radonjić, Milan Pelster, Axel |
| author_facet | Lima, Rodrigo P. A. Radonjić, Milan Pelster, Axel |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_01513 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Out-of-equilibrium dynamical properties of Bose-Einstein condensates in a ramped up weak disorder Lima, Rodrigo P. A. Radonjić, Milan Pelster, Axel Quantum Gases 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. |
| title | Out-of-equilibrium dynamical properties of Bose-Einstein condensates in a ramped up weak disorder |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2501.01513 |