Thomas-Fermi Approximation for a Condensate with Higher-order Interactions
Quantum Gases
2009-10-28 v2 Statistical Mechanics
Abstract
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 non-linear Schr\"odinger 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.
Cite
@article{arxiv.0907.5349,
title = {Thomas-Fermi Approximation for a Condensate with Higher-order Interactions},
author = {M. Thøgersen and N. T. Zinner and A. S. Jensen},
journal= {arXiv preprint arXiv:0907.5349},
year = {2009}
}
Comments
8 pages, RevTex4 format, 5 figures