English

The Unitary Fermi Gas in a Harmonic Trap and its Static Response

Quantum Gases 2012-11-19 v1 Nuclear Theory

Abstract

We use harmonically trapped systems to find the leading gradient corrections of the supefluid local density approximation (SLDA) - a density functional theory (DFT) describing the unitary Fermi gas (UFG). We find the leading order correction to be negative, and predict the q^2 coefficient of the long-range static response c = 1.5(3) - a factor of two smaller than predicted by mean-field theory - thereby establishing a new and experimentally measurably universal constant.

Keywords

Cite

@article{arxiv.1211.3779,
  title  = {The Unitary Fermi Gas in a Harmonic Trap and its Static Response},
  author = {Michael McNeil Forbes},
  journal= {arXiv preprint arXiv:1211.3779},
  year   = {2012}
}

Comments

7 pages, 7 figures