Many-body density of states of bosonic and fermionic gases: a combinatorial approach
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917917138878464 |
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| author | Echter, Carolyn Maier, Georg Urbina, Juan-Diego Lewenkopf, Caio Richter, Klaus |
| author_facet | Echter, Carolyn Maier, Georg Urbina, Juan-Diego Lewenkopf, Caio Richter, Klaus |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08696 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Many-body density of states of bosonic and fermionic gases: a combinatorial approach Echter, Carolyn Maier, Georg Urbina, Juan-Diego Lewenkopf, Caio Richter, Klaus Quantum Gases Exactly Solvable and Integrable Systems Quantum Physics 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. |
| title | Many-body density of states of bosonic and fermionic gases: a combinatorial approach |
| topic | Quantum Gases Exactly Solvable and Integrable Systems Quantum Physics |
| url | https://arxiv.org/abs/2409.08696 |