Bose-Einstein condensation in variable dimensionality
arXiv:cond-mat/0102362 · doi:10.1103/PhysRevA.65.033604
Abstract
We introduce dimensional perturbation techniques to Bose-Einstein condensation of inhomogeneous alkali gases (BEC). The perturbation parameter is delta=1/kappa, where kappa depends on the effective dimensionality of the condensate and on the angular momentum quantum number. We derive a simple approximation that is more accurate and flexible than the N -> infinity Thomas-Fermi ground state approximation (TFA) of the Gross-Pitaevskii equation. The approximation presented here is well-suited for calculating properties of states in three dimensions and in low effective dimensionality, such as vortex states in a highly anisotropic trap.
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Cited by in corpus (4)
- Highly anisotropic Bose-Einstein condensates: crossover to lower dimensionality
- N identical particles under quantum confinement: A many-body dimensional perturbation theory approach
- Generalization of the Fermi Pseudopotential
- Stability, effective dimensions, and interactions for bosons in deformed fields