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Optimal Rate for Bose–Einstein condensation in the Gross–Pitaevskii regime


Boccato, Chiara; Brennecke, Christian; Cenatiempo, Serena; Schlein, Benjamin (2020). Optimal Rate for Bose–Einstein condensation in the Gross–Pitaevskii regime. Communications in Mathematical Physics, 376(2):1311-1395.

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.

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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Additional indexing

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 > Mathematical Physics
Uncontrolled Keywords:Mathematical Physics, Statistical and Nonlinear Physics
Language:English
Date:1 June 2020
Deposited On:09 Jan 2020 13:11
Last Modified:29 Jul 2020 12:59
Publisher:Springer
ISSN:0010-3616
OA Status:Green
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/s00220-019-03555-9
Project Information:
  • : FunderSNSF
  • : Grant ID200020_172623
  • : Project TitleDynamical and energetic properties of Bose-Einstein condensates

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