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.

9 pages, 6 figures

References in corpus (9)

• The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
• Fragmentation of Bose-Einstein Condensates
• Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
• General variational many-body theory with complete self-consistency for trapped bosonic systems
• Exact quantum dynamics of bosons with finite-range time-dependent interactions of harmonic type
• Condensate fragmentation as a sensitive measure of the quantum many-body behavior of bosons with long-range interactions
• Negative quench induced excitation dynamics for ultracold bosons in one-dimensional lattices
• Variance as a sensitive probe of correlations enduring the infinite particle limit
• Overlap of exact and Gross-Pitaevskii wavefunctions in Bose-Einstein condensates of dilute gases

Cited by in corpus (2)

• 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