4.5 Article

Variance of an anisotropic Bose-Einstein condensate

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CHEMICAL PHYSICS
卷 509, 期 -, 页码 45-54

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ELSEVIER SCIENCE BV
DOI: 10.1016/j.chemphys.2018.02.016

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  1. Israel Science Foundation [600/15]
  2. Deutsche Forschungsgemeinschaft (DFG)

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The anisotropy of a trap potential can impact the density and variance of a Bose-Einstein condensate (BEC) in an opposite manner. We exemplify this effect for both the ground state and out-of-equilibrium dynamics of structureless bosons interacting by a long-range inter-particle interaction and trapped in a two-dimensional single-well potential. We demonstrate that even when the density of the BEC is, say, wider along the y direction and narrower along the x direction, its position variance can actually be smaller and momentum variance larger in the y direction than in the x direction. This behavior of the variance in a many-particle system is counterintuitive. It suggests using the variance as a tool to characterize the strength of correlations along the y and x directions in a trapped BEC. (C)2018 Elsevier B.V. All rights reserved.

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