The free energy of dilute Bose gases at low temperatures interacting via strong potentials
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916369964990464 |
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| author | Fournais, S. Junge, L. Girardot, T. Morin, L. Olivieri, M. Triay, A. |
| author_facet | Fournais, S. Junge, L. Girardot, T. Morin, L. Olivieri, M. Triay, A. |
| contents | We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang on the excitation spectrum of the system. Combining techniques of \cite{FS2} and \cite{HHNST}, we give a simpler and shorter proof resolving the case of strong interactions, including the hard-core potential. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_14222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The free energy of dilute Bose gases at low temperatures interacting via strong potentials Fournais, S. Junge, L. Girardot, T. Morin, L. Olivieri, M. Triay, A. Mathematical Physics Spectral Theory We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang on the excitation spectrum of the system. Combining techniques of \cite{FS2} and \cite{HHNST}, we give a simpler and shorter proof resolving the case of strong interactions, including the hard-core potential. |
| title | The free energy of dilute Bose gases at low temperatures interacting via strong potentials |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2408.14222 |