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

作者信息

Behrmann Nils, Brennecke Christian, Rademacher Simone

机构信息

Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany.

Department of Mathematics, LMU Munich, Theresienstr. 39, 80333 Munich, Germany.

出版信息

Lett Math Phys. 2025;115(4):91. doi: 10.1007/s11005-025-01986-1. Epub 2025 Aug 21.

DOI:10.1007/s11005-025-01986-1
PMID:40860991
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12370843/
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 from Nam and Rademacher (Trans Am Math Soc, 2023, arXiv:2307.10622) for translation invariant systems.

摘要

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本文引用的文献

1
Generating Function for Quantum Depletion of Bose-Einstein Condensates.
J Stat Phys. 2025;192(8):108. doi: 10.1007/s10955-025-03495-w. Epub 2025 Jul 26.
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