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Benedikter, Niels; Nam, Phan Thành; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert (2022). Bosonization of Fermionic many-body dynamics. Annales Henri Poincaré, 23(5):1725-1764.
We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle–hole pair excitations on the Fermi ball. Using a rigorous version of approximate bosonization, we prove that the many-body evolution can be approximated in Fock space norm by a quasi-free bosonic evolution of the collective particle–hole excitations.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 340 Law
610 Medicine & health 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Nuclear and High Energy Physics Physical Sciences > Mathematical Physics |
| Uncontrolled Keywords: | Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics |
| Language: | English |
| Date: | 1 May 2022 |
| Deposited On: | 10 Jan 2022 14:50 |
| Last Modified: | 26 Dec 2024 02:40 |
| Publisher: | Springer |
| ISSN: | 1424-0637 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/s00023-021-01136-y |
| Project Information: |
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Benedikter, Niels