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arXiv 2409.08696cond-mat.quant-gasnlin.SIquant-ph
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玻色与费米气体多体态密度:一种组合方法

Many-body density of states of bosonic and fermionic gases: a combinatorial approach

Carolyn Echter, Georg Maier, Juan-Diego Urbina, Caio Lewenkopf, Klaus Richter

AI总结:

本文用组合方法推导等间隔单粒子谱下费米与玻色气体多体态密度的精确表达式,证明二者仅相差基态能量平移,并发现 Bethe 近似有效区内态密度与粒子数无关。

摘要:

我们采用一种组合方法来获得具有等间隔单粒子谱的费米子和玻色子气体多体态密度的精确表达式。我们识别出一个映射,该映射揭示了一个显著性质,即费米子气体和玻色子气体具有相同的多体态密度,仅相差一个对应于基态能量的平移。此外,我们表明存在一个区域,该区域包含 Bethe 近似的有效范围,其中多体态密度变得与粒子数无关。

英文摘要:

We use a combinatorial approach to obtain exact expressions for the many-body density of states of fermionic and bosonic gases with equally spaced single-particle spectra. We identify a mapping that reveals a remarkable property, namely, fermionic and bosonic gases have the same many-body density of states, up to a shift corresponding to ground state energy. Additionally, we show that there is a regime, comprising the validity range of the Bethe approximation, where the many-body density of states becomes independent of the number of particles.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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