A Note on the Construction of Trial States for the Dilute Bose Gas
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918488654741504 |
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| author | Brooks, Morris Oldenburg, Jakob Aubin, Diane Saint |
| author_facet | Brooks, Morris Oldenburg, Jakob Aubin, Diane Saint |
| contents | We review how the local particle number cutoff introduced in [11] is used to build trial states for the dilute Bose gas that capture the substantial correlation structure of the ground state in the thermodynamic limit. In particular, we provide a simplified derivation of the Lee-Huang-Yang correction as an upper bound for the ground state energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06844 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Note on the Construction of Trial States for the Dilute Bose Gas Brooks, Morris Oldenburg, Jakob Aubin, Diane Saint Mathematical Physics We review how the local particle number cutoff introduced in [11] is used to build trial states for the dilute Bose gas that capture the substantial correlation structure of the ground state in the thermodynamic limit. In particular, we provide a simplified derivation of the Lee-Huang-Yang correction as an upper bound for the ground state energy. |
| title | A Note on the Construction of Trial States for the Dilute Bose Gas |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2605.06844 |