Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime

C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Communications in Mathematical Physics (2019).


Journal Article | Epub ahead of print | English
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Abstract
We consider systems of bosons trapped in a box, in the Gross–Pitaevskii regime. We show that low-energy states exhibit complete Bose–Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent results obtained in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018), removing the assumption of small interaction potential.
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2019-09-13
Journal Title
Communications in Mathematical Physics
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Boccato C, Brennecke C, Cenatiempo S, Schlein B. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. 2019. doi:10.1007/s00220-019-03555-9
Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2019). Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. https://doi.org/10.1007/s00220-019-03555-9
Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics, 2019. https://doi.org/10.1007/s00220-019-03555-9.
C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime,” Communications in Mathematical Physics, 2019.
Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics.
Boccato, Chiara, et al. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics, Springer, 2019, doi:10.1007/s00220-019-03555-9.

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