Condensates in annuli: Dimensionality of the variance

Abstract

Static and dynamic properties of Bose-Einstein condensates in annular traps are investigated by solving the many-boson Schrödinger equation numerically accurately using the multiconfigurational time-dependent Hartree for bosons method. We concentrate on weakly-interacting bosons exhibiting low depletion. Analysis of the mean-field position variance, which accounts for the shape of the density only, and the many-body position variance, which incorporates a tiny amount of excitations through the reduced two-particle density matrix, shows that the former behaves essentially as a quasi-one-dimensional quantity whereas the latter as a two-dimensional quantity. This brings another dimension to the physics of bosons in ring-shaped traps.

arXiv comment24 pages, 8 figures

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Cited by in corpus (7)

• Multiconfigurational time-dependent Hartree approaches for indistinguishable particles
• Analysis of a trapped Bose-Einstein condensate in terms of position, momentum, and angular-momentum variance
• Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction
• Order indices and entanglement production in quantum systems
• Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction: Mean-field and many-body dynamics
• Dynamics of Ultracold Bosons in Artificial Gauge Fields: Angular Momentum, Fragmentation, and the Variance of Entropy
• Morphology of an interacting three-dimensional trapped Bose-Einstein condensate from many-particle variance anisotropy