The free energy of dilute Bose gases at low temperatures
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929255330349056 |
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| author | Haberberger, Florian Hainzl, Christian Nam, Phan Thành Seiringer, Robert Triay, Arnaud |
| author_facet | Haberberger, Florian Hainzl, Christian Nam, Phan Thành Seiringer, Robert Triay, Arnaud |
| contents | We consider a low density Bose gas interacting through a repulsive potential in the thermodynamic limit. We justify, as a rigorous lower bound, a Lee--Huang--Yang type formula for the free energy at suitably low temperatures, where the modified excitation spectrum leads to a second order correction of the same order as the Lee--Huang--Yang correction to the ground state energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02405 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The free energy of dilute Bose gases at low temperatures Haberberger, Florian Hainzl, Christian Nam, Phan Thành Seiringer, Robert Triay, Arnaud Mathematical Physics 81V73 We consider a low density Bose gas interacting through a repulsive potential in the thermodynamic limit. We justify, as a rigorous lower bound, a Lee--Huang--Yang type formula for the free energy at suitably low temperatures, where the modified excitation spectrum leads to a second order correction of the same order as the Lee--Huang--Yang correction to the ground state energy. |
| title | The free energy of dilute Bose gases at low temperatures |
| topic | Mathematical Physics 81V73 |
| url | https://arxiv.org/abs/2304.02405 |