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arXiv · 1812.09933

Variance of a Trapped Bose-Einstein Condensate

Ofir E. Alon
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Abstract

The ground state of a Bose-Einstein condensate in a two-dimensional trap potential is analyzed numerically at the infinite-particle limit. It is shown that the anisotropy of the many-particle position variance along the $x$ and $y$ axes can be opposite when computed at the many-body and mean-field levels of theory. This is despite the system being $100\%$ condensed, and the respective energies per particle and densities per particle to coincide.

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Ofir E. Alon. 2018-12-24. Variance of a Trapped Bose-Einstein Condensate. https://doi.org/10.1088/1742-6596%2F1206%2F1%2F012009

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