On Bose-Einstein condensates in disordered media
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912703909462016 |
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| author | Lemm, Marius Rademacher, Simone Zhang, Jingxuan |
| author_facet | Lemm, Marius Rademacher, Simone Zhang, Jingxuan |
| contents | We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Starting from a spatially localized Bose-Einstein condensate, we prove that fluctuations around the condensate propagate with a small velocity due to the disorder. This provides an example of a disordered many-body system with provably slow transport behavior in any spatial dimension. The main technical novelty is an interaction picture analysis relative to the Anderson-localized one-body dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_08925 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Bose-Einstein condensates in disordered media Lemm, Marius Rademacher, Simone Zhang, Jingxuan Mathematical Physics We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Starting from a spatially localized Bose-Einstein condensate, we prove that fluctuations around the condensate propagate with a small velocity due to the disorder. This provides an example of a disordered many-body system with provably slow transport behavior in any spatial dimension. The main technical novelty is an interaction picture analysis relative to the Anderson-localized one-body dynamics. |
| title | On Bose-Einstein condensates in disordered media |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2511.08925 |