Ground state energy of a dilute Bose gas with three-body hard-core interactions
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910485370109952 |
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| author | Junge, Lukas Visconti, François Louis Antoine |
| author_facet | Junge, Lukas Visconti, François Louis Antoine |
| contents | We consider a gas of bosons interacting through a three-body hard-core potential in the thermodynamic limit. We derive an upper bound on the ground state energy of the system at the leading order using a Jastrow factor. Our result matches the lower bound proven by Nam-Ricaud-Triay and therefore resolves the leading order. Moreover, a straightforward adaptation of our proof can be used for systems interacting via combined two-body and three-body interactions to generalise Theorem 1.2. from arXiv:2402.05646 to hard-core potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09019 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ground state energy of a dilute Bose gas with three-body hard-core interactions Junge, Lukas Visconti, François Louis Antoine Mathematical Physics We consider a gas of bosons interacting through a three-body hard-core potential in the thermodynamic limit. We derive an upper bound on the ground state energy of the system at the leading order using a Jastrow factor. Our result matches the lower bound proven by Nam-Ricaud-Triay and therefore resolves the leading order. Moreover, a straightforward adaptation of our proof can be used for systems interacting via combined two-body and three-body interactions to generalise Theorem 1.2. from arXiv:2402.05646 to hard-core potentials. |
| title | Ground state energy of a dilute Bose gas with three-body hard-core interactions |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2406.09019 |