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arXiv · 2112.02343

On Bose-Einstein condensates in the Thomas-Fermi regime

Daniele Dimonte·Emanuela L. Giacomelli
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Abstract

We study a system of $ N $ trapped bosons in the Thomas-Fermi regime with an interacting pair potential of the form $ g_N N^{3\beta-1} V(N^\beta x) $, for some $ \beta\in(0,1/3) $ and $ g_N $ diverging as $ N \to \infty $. We prove that there is complete Bose-Einstein condensation at the level of the ground state and, furthermore, that, if $ \beta\in (0,1/6) $, condensation is preserved by the time evolution.

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Daniele Dimonte, Emanuela L. Giacomelli. 2021-12-04. On Bose-Einstein condensates in the Thomas-Fermi regime. https://doi.org/10.1007/s11040-022-09439-0

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