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arXiv · 1703.04452

Complete Bose-Einstein condensation in the Gross-Pitaevskii regime

Chiara Boccato·Christian Brennecke·Serena Cenatiempo·Benjamin Schlein
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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 small, we show that the ground state of the system and all states with relatively small excitation energy exhibit complete Bose-Einstein condensation, with a uniform (i.e. $N$ independent) bound on the number of excitations.

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Chiara Boccato, Christian Brennecke, Serena Cenatiempo, Benjamin Schlein. 2017-03-13. Complete Bose-Einstein condensation in the Gross-Pitaevskii regime. https://doi.org/10.1007/s00220-017-3016-5

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