Thomas-Fermi approximation for Bose-Einstein condensates in traps - IN2P3 - Institut national de physique nucléaire et de physique des particules
Journal Articles Physical Review A : Atomic, molecular, and optical physics [1990-2015] Year : 2000

Thomas-Fermi approximation for Bose-Einstein condensates in traps

Abstract

Thomas-Fermi theory for Bose condesates in inhomogeneous traps is revisited. The phase-space distribution function in the Thomas-Fermi limit is $f_0(\bold{R},\bold{p})$ $\alpha$ $\delta(\mu - H_{cl})$ where $H_{cl}$ is the classical counterpart of the self-consistent Gross-Pitaevskii Hamiltonian. No assumption on the large N-limit is introduced and, e.g the kinetic energy is found to be in good agreement with the quantal results even for low and intermediate particle numbers N. The attractive case yields conclusive results as well.

Dates and versions

in2p3-00006007 , version 1 (07-09-2000)

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P. Schuck, X. Vinas. Thomas-Fermi approximation for Bose-Einstein condensates in traps. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2000, 61, 043603-(11 p.). ⟨10.1103/PhysRevA.61.043603⟩. ⟨in2p3-00006007⟩
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