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Caraci, Cristina; Cenatiempo, Serena; Schlein, Benjamin (2023). The Excitation Spectrum of Two-Dimensional Bose Gases in the Gross–Pitaevskii Regime. Annales Henri Poincaré, 24(8):2877-2928.
We consider a system of N bosons, in the two-dimensional unit torus. We assume particles to interact through a repulsive two-body potential, with a scattering length that is exponentially small in N (Gross–Pitaevskii regime). In this setting, we establish the validity of the predictions of Bogoliubov theory, determining the ground state energy of the Hamilton operator and its low-energy excitation spectrum, up to errors that vanish in the limit N→ ∞.
| Item Type: | Journal Article, refereed, original work |
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| 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 > 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 August 2023 |
| Deposited On: | 29 Jun 2023 09:42 |
| Last Modified: | 29 Dec 2024 02:38 |
| Publisher: | Springer |
| ISSN: | 1424-0637 |
| Additional Information: | Funding text 1: B.S. gratefully acknowledges partial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Bogoliubov theory for bosonic systems” and from the European Research Council through the ERC-AdG CLaQS. C.C. and S.C. warmly acknowledge the GNFM Gruppo Nazionale per la Fisica Mathematica - INDAM. Funding text 2: Open access funding provided by Gran Sasso Science Institute - GSSI within the CRUI-CARE Agreement. |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1007/s00023-023-01278-1 |
| Project Information: |
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Caraci, Cristina