Mean-field Wigner function of Bose–Einstein condensates in the Thomas–Fermi limit. (26th October 2018)

• Record Type: Journal Article
• Authors: Teske, J; Besbes, M R; Okhrimenko, B; Walser, R
• Is Part Of: Physica scripta. Volume 93:Number 12(2018:Dec.)
• Publication Date: 2018-10-26
• Subjects: phase-space distribution -- Bose–Einstein condensates -- matter waves -- Thomas–Fermi limit -- Wigner function; Physics -- Periodicals; 530.05
• DOI: 10.1088/1402-4896/aae516
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: We study the mean-field phase-space distribution of the ground state of an anisotropic, harmonically trapped Bose–Einstein condensate at zero temperature. First, we derive the Fourier transform of the ground-state wave function in the Thomas–Fermi limit in d dimensions. Second, we obtain analytical approximations for the Thomas–Fermi Wigner function in one and three dimensions with a factorization ansatz of the coherence function. These approximate expressions are compared with exact numerical simulations of the Gross–Pitaevskii equation.