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arXiv · 1505.05130

Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium

Leonardo Ermann·Eduardo Vergini·Dima L. Shepelyansky
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Abstract

We study numerically the wavefunction evolution of a Bose-Einstein condensate in a Bunimovich stadium billiard being governed by the Gross-Pitaevskii equation. We show that for a moderate nonlinearity, above a certain threshold, there is emergence of dynamical thermalization which leads to the Bose-Einstein probability distribution over the linear eigenmodes of the stadium. This distribution is drastically different from the energy equipartition over oscillator degrees of freedom which would lead to the ultra-violet catastrophe. We argue that this interesting phenomenon can be studied in cold atom experiments.

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Leonardo Ermann, Eduardo Vergini, Dima L. Shepelyansky. 2015-05-19. Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium. https://doi.org/10.1209/0295-5075%2F111%2F50009

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