We consider a gas of N bosons in a box with volume one interacting through a two-body potential with scattering length of order N- 1 (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.
Complete Bose–Einstein Condensation in the Gross–Pitaevskii Regime / C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 359:3(2018), pp. 975-1026. [10.1007/s00220-017-3016-5]
Complete Bose–Einstein Condensation in the Gross–Pitaevskii Regime
C. Boccato;
2018
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 N- 1 (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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Boccato2018_Article_CompleteBoseEinsteinCondensati.pdf
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