玻色-爱因斯坦凝聚体量子耗竭的生成函数。

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2025-07-26 DOI:10.1007/s10955-025-03495-w

Simone Rademacher

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引用次数: 0

摘要

我们考虑在Gross-Pitaevskii状态下单位环面上的零温度玻色气体，已知进行玻色-爱因斯坦凝聚：玻色子的宏观部分占据相同的量子态，称为凝聚。我们研究了玻色气体的量子耗尽，即凝聚体外玻色子的数量，并推导出其生成函数的显式渐近公式。此外，我们还证明了量子耗尽尾部的上界。

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Generating Function for Quantum Depletion of Bose-Einstein Condensates

We consider a Bose gas on the unit torus at zero temperature in the Gross-Pitaevskii regime, known to perform Bose-Einstein condensation: a macroscopic fraction of the bosons occupy the same quantum state, called condensate. We study the Bose gas’ quantum depletion, that is the number of bosons outside the condensate, and derive an explicit asymptotic formula of its generating function. Moreover, we prove an upper bound for the tails of the quantum depletion.

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.