Variance of an anisotropic Bose-Einstein condensate

Shachar Klaiman, Raphael Beinke, Lorenz S. Cederbaum, Alexej I. Streltsov, Ofir E. Alon

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)45-54
Number of pages10
JournalChemical Physics
StatePublished - 15 Jun 2018

Bibliographical note

Publisher Copyright:
© 2018 Elsevier B.V.

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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