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

Abstract

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.

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Cited by in corpus (2)

• Ensemble-averaged mean-field many-body level density: an indicator of integrable versus chaotic single-particle dynamics
• The curious case of operators with spectral density increasing as $\Omega (E)\sim e^{Const.E^2}$