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

IF 1.4 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-08-21 DOI:10.1007/s11005-025-01986-1

Nils Behrmann, Christian Brennecke, Simone Rademacher

引用次数: 0

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.

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Gross-Pitaevskii区被困BEC激发的指数控制

我们考虑在Gross-Pitaevskii体系中的三维捕获玻色气体，其低能态众所周知表现出玻色-爱因斯坦凝聚。也就是说，大多数粒子都处于相同的凝析态。我们证明了与凝聚态正交的粒子数的指数控制，推广了Nam和Rademacher （Trans Am Math Soc, 2023, arXiv:2307.10622）关于平移不变系统的最新结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.