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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.11347 |
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| _version_ | 1866910284452462592 |
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| author | Brooks, Morris |
| author_facet | Brooks, Morris |
| contents | We present a novel approach to the Bogoliubov theory of dilute Bose gases, allowing for an elementary derivation of the celebrated Lee-Huang-Yang formula in the Gross-Pitaevskii regime. Furthermore, we identify the low lying excitation spectrum beyond the Gross-Pitaevskii scaling, extending a recent result [3] to significantly more singular scaling regimes. Finally, we provide an upper bound on the ground state energy in the Gross-Pitaevskii regime that captures the correct expected order of magnitude beyond the Lee-Huang-Yang formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_11347 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Diagonalizing Bose Gases in the Gross-Pitaevskii Regime and Beyond Brooks, Morris Mathematical Physics We present a novel approach to the Bogoliubov theory of dilute Bose gases, allowing for an elementary derivation of the celebrated Lee-Huang-Yang formula in the Gross-Pitaevskii regime. Furthermore, we identify the low lying excitation spectrum beyond the Gross-Pitaevskii scaling, extending a recent result [3] to significantly more singular scaling regimes. Finally, we provide an upper bound on the ground state energy in the Gross-Pitaevskii regime that captures the correct expected order of magnitude beyond the Lee-Huang-Yang formula. |
| title | Diagonalizing Bose Gases in the Gross-Pitaevskii Regime and Beyond |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2310.11347 |