Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 359, Issue 3, Pages 975-1026Publisher
SPRINGER
DOI: 10.1007/s00220-017-3016-5
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Funding
- NCCR SwissMAP
- Swiss National Foundation of Science through the SNF Grants Effective equations from quantum dynamics
- Swiss National Foundation of Science through Dynamical and energetic properties of Bose-Einstein condensates
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We consider a gas of N bosons in a box with volume one interacting through a two-body potential with scattering length of order (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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