Thomas-Fermi approximation for a condensate with higher-order interactions

Journal Article · Thu Oct 15 00:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.80.043625· OSTI ID:21316462

Thoegersen, M; Jensen, A S ^[1]; Zinner, N T ^[2]

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1. Department of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus (Denmark)
2. Department of Physics, Harvard University, Cambridge, Massachusetts 02138 (United States)

We consider the ground state of a harmonically trapped Bose-Einstein condensate within the Gross-Pitaevskii theory including the effective-range corrections for a two-body zero-range potential. The resulting nonlinear Schroedinger equation is solved analytically in the Thomas-Fermi approximation neglecting the kinetic-energy term. We present results for the chemical potential and the condensate profiles, discuss boundary conditions, and compare to the usual Thomas-Fermi approach. We discuss several ways to increase the influence of effective-range corrections in experiment with magnetically tunable interactions. The level of tuning required could be inside experimental reach in the near future.

• OSTI ID: 21316462
• Journal Information: Physical Review. A, Vol. 80, Issue 4; Other Information: DOI: 10.1103/PhysRevA.80.043625; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BOSE-EINSTEIN CONDENSATION
BOUNDARY CONDITIONS
COMPARATIVE EVALUATIONS
CORRECTIONS
GROUND STATES
KINETIC ENERGY
NONLINEAR PROBLEMS
POTENTIALS
SCHROEDINGER EQUATION
THOMAS-FERMI MODEL
TRAPPING
TWO-BODY PROBLEM