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<p>We consider trapped Bose gases in three dimensions in the Gross–Pitaevskii regime whose low energy states are well known to exhibit Bose–Einstein condensation. That is, the majority of the particles occupies the same condensate state. We prove exponential control of the number of particles orthogonal to the condensate state, generalizing recent results from Nam and Rademacher (Trans Am Math Soc, 2023, <a href="http://arxiv.org/abs/2307.10622">arXiv:2307.10622</a>) for translation invariant systems.</p>

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Exponential control of excitations for trapped BEC in the Gross–Pitaevskii regime

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  • 出版模式：

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  • 发表日期：

    2025年8月21日

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  • Nils Behrmann,
  • Christian Brennecke,
  • Simone Rademacher

摘要

We consider trapped Bose gases in three dimensions in the Gross–Pitaevskii regime whose low energy states are well known to exhibit Bose–Einstein condensation. That is, the majority of the particles occupies the same condensate state. We prove exponential control of the number of particles orthogonal to the condensate state, generalizing recent results from Nam and Rademacher (Trans Am Math Soc, 2023, arXiv:2307.10622) for translation invariant systems.