Thomas-Fermi versus one- and two-dimensional regimes of a trapped dipolar Bose-Einstein condensate

2008/07/31 by N. G. Parker, D. H. J. O’Dell, D. H. J. O'Dell · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.other #physics.atom-ph #quant-ph

paper · pdf · doi:10.1103/physreva.78.041601

published as Physical Review A 78, 041601R (2008) · 5 pages, 2 figures

arxiv created 2008/07/31 · openalex publication_date 2008/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive the criteria for the Thomas-Fermi regime of a dipolar Bose-Einstein condensate in cigar-shaped, pancake-shaped, and spherical geometries. These also naturally gives the criteria for the mean-field one- and two-dimensional regimes. Our predictions, including analytic forms for the density profiles, are shown to be in excellent agreement with numerical solutions. Importantly, the anisotropy of the interactions has a profound effect on the Thomas-Fermi and low-dimensional criteria.

Citations

• Stabilization of a purely dipolar quantum gas against collapse
• Strong dipolar effects in a quantum ferrofluid
• Ground state and elementary excitations of single and binary Bose-Einstein condensates of trapped dipolar gases
• Bose-Einstein condensation with magnetic dipole-dipole forces

Cited by

• Structure formation during the collapse of a dipolar atomic Bose-Einstein condensate
• The physics of dipolar bosonic quantum gases
• Fortran and C programs for the time-dependent dipolar Gross–Pitaevskii equation in an anisotropic trap