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Complete Bose–Einstein condensation in the Gross–Pitaevskii regime


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.

Abstract

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.

Abstract

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.

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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: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:29 Jul 2020 06:40
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

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