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.
Bose–Einstein condensation; Gross-Pitaevskii regime; Interacting bosons; Two dimensional Bose gas
Settore MAT/07 - Fisica Matematica
9-nov-2017
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/859723
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