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

Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. 376, 1311–1395.


Journal Article | Published | English

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Author
Boccato, ChiaraIST Austria; Brennecke, Christian; Cenatiempo, Serena; Schlein, Benjamin
Department
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.
Publishing Year
Date Published
2019-09-13
Journal Title
Communications in Mathematical Physics
Acknowledgement
We would like to thank P. T. Nam and R. Seiringer for several useful discussions and for suggesting us to use the localization techniques from [9]. C. Boccato has received funding from the European Research Council (ERC) under the programme Horizon 2020 (Grant Agreement 694227). B. Schlein gratefully acknowledges support from the NCCR SwissMAP and from the Swiss National Foundation of Science (Grant No. 200020_1726230) through the SNF Grant “Dynamical and energetic properties of Bose–Einstein condensates”.
Volume
376
Page
1311-1395
IST-REx-ID

Cite this

Boccato C, Brennecke C, Cenatiempo S, Schlein B. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. 2019;376:1311-1395. 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. Springer. 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. Springer, 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, vol. 376. Springer, pp. 1311–1395, 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. 376, 1311–1395.
Boccato, Chiara, et al. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics, vol. 376, Springer, 2019, pp. 1311–95, doi:10.1007/s00220-019-03555-9.
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