Breakdown of the Thomas Fermi approximation for polarized Fermi gases

Details Breakdown of the Thomas Fermi approximation for polarized Fermi gases Breakdown of the Thomas Fermi approximation for polarized Fermi gases

2007-06-12

arxiv.org/abs/0706.1741v1

Physics

Condensed Matter

Superconductivity

4 pages 3 figures

Scientific paper

We use Bogoliubov de-Gennes theory to show that the commonly used Thomas-Fermi approximation (TFA) can fail in describing polarized unitary gases in anisotropic harmonic traps. We find a magnetized superfluid region inside the trap, with order parameter oscillations, even though there is no such stable bulk phase. This leads to magnetization profiles that deviate from contours of constant potential energy. We determine how this violation scales with trap anisotropy and number of particles, and show that we are able to account for important differences between the MIT and Rice experiments.

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