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arXiv · 2501.15803

Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime

Nils Behrmann·Christian Brennecke·Simone Rademacher
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Abstract

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 for translation invariant systems.

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Nils Behrmann, Christian Brennecke, Simone Rademacher. 2025-01-27. Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime. https://arxiv.org/abs/2501.15803

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