Variance of a Trapped Bose-Einstein Condensate

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.

arXiv comment9 pages, 6 figures

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Cited by in corpus (3)

• Solvable model of a generic driven mixture of trapped Bose-Einstein condensates and properties of a many-boson Floquet state at the limit of an infinite number of particles
• Morphology of an interacting three-dimensional trapped Bose-Einstein condensate from many-particle variance anisotropy
• Dynamics and transport of Bose-Einstein condensates in bent potentials