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

Cenatiempo S
Membro del Collaboration Group
;
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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12571/6948
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