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Adhikari, Arka; Brennecke, Christian; Schlein, Benjamin (2021). Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime. Annales Henri Poincaré, 22(4):1163-1233.
We consider N bosons in a box with volume one, interacting through a two-body potential with scattering length of the order N−1+κ, for κ>0. Assuming that κ∈(0;1/43), we show that low-energy states exhibit Bose–Einstein condensation and we provide bounds on the expectation and on higher moments of the number of 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: | Nuclear and High Energy Physics, Mathematical Physics, Statistical and Nonlinear Physics |
| Language: | English |
| Date: | 1 April 2021 |
| Deposited On: | 30 Mar 2021 14:15 |
| Last Modified: | 25 Dec 2024 02:37 |
| Publisher: | Springer |
| ISSN: | 1424-0637 |
| OA Status: | Hybrid |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1007/s00023-020-01004-1 |
Adhikari, Arka