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Boccato, Chiara; Brennecke, Christian; Cenatiempo, Serena; Schlein, Benjamin (2018). Complete Bose–Einstein condensation in the Gross–Pitaevskii regime. Communications in Mathematical Physics, 359(3):975-1026.
We consider a gas of N bosons in a box with volume one interacting through a two-body potential with scattering length of order (Formula presented.) (Gross–Pitaevskii limit). Assuming the (unscaled) potential to be sufficiently weak, we prove complete Bose–Einstein condensation for the ground state and for many-body states with finite excitation energy in the limit of large N with a uniform (N-independent) bound on the number of excitations.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics |
| Language: | English |
| Date: | 2018 |
| Deposited On: | 25 Jan 2018 07:25 |
| Last Modified: | 17 Jan 2025 02:40 |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| Funders: | Schweizerischer Nationalfonds |
| Additional Information: | This is a post-peer-review, pre-copyedit version of an article published in Communications in Mathematical Physics. The final authenticated version is available online at: https://doi.org/10.1007/s00220-017-3016-5 |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1007/s00220-017-3016-5 |
Boccato, Chiara