Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909150264426496 |
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| author | Benedikter, Niels Porta, Marcello Schlein, Benjamin Seiringer, Robert |
| author_facet | Benedikter, Niels Porta, Marcello Schlein, Benjamin Seiringer, Robert |
| contents | Recently the leading order of the correlation energy of a Fermi gas in a coupled mean-field and semiclassical scaling regime has been derived, under the assumption of an interaction potential with a small norm and with compact support in Fourier space. We generalize this result to large interaction potentials, requiring only $|\cdot| \hat{V} \in \ell^1 (\mathbb{Z}^3)$. Our proof is based on approximate, collective bosonization in three dimensions. Significant improvements compared to recent work include stronger bounds on non-bosonizable terms and more efficient control on the bosonization of the kinetic energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_13185 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential Benedikter, Niels Porta, Marcello Schlein, Benjamin Seiringer, Robert Mathematical Physics Quantum Gases Strongly Correlated Electrons 81V70, 82B10, 81Q10, 35P05 Recently the leading order of the correlation energy of a Fermi gas in a coupled mean-field and semiclassical scaling regime has been derived, under the assumption of an interaction potential with a small norm and with compact support in Fourier space. We generalize this result to large interaction potentials, requiring only $|\cdot| \hat{V} \in \ell^1 (\mathbb{Z}^3)$. Our proof is based on approximate, collective bosonization in three dimensions. Significant improvements compared to recent work include stronger bounds on non-bosonizable terms and more efficient control on the bosonization of the kinetic energy. |
| title | Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential |
| topic | Mathematical Physics Quantum Gases Strongly Correlated Electrons 81V70, 82B10, 81Q10, 35P05 |
| url | https://arxiv.org/abs/2106.13185 |