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

被引：1

作者：

Echter, Carolyn ^{[1
]}

Maier, Georg ^{[1
]}

Urbina, Juan-Diego ^{[1
]}

Lewenkopf, Caio ^{[2
]}

Richter, Klaus ^{[1
]}

机构：

[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany

[2] Univ Fed Fluminense, Inst Fis, BR-24210346 Niteroi, RJ, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2025年 / 58卷 / 06期

关键词：

bethe approximation; density of states; non-interacting many-body systems; combinatorics; QUANTUM; THERMALIZATION;

D O I：

10.1088/1751-8121/adae68

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页数：16

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