Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions
Quantum Gases
2011-12-21 v3 Quantum Physics
Abstract
We present universal relations for a two-dimensional Fermi gas with pairwise contact interactions. The derivation of these relations is made possible by obtaining the explicit form of a generalized function -- selector -- in the momentum representation. The selector implements the short-distance boundary condition between two fermions in a straightforward manner, and leads to simple derivations of the universal relations, in the spirit of Tan's original method for the three-dimensional gas.
Cite
@article{arxiv.1109.6792,
title = {Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions},
author = {Manuel Valiente and Nikolaj Zinner and Klaus Molmer},
journal= {arXiv preprint arXiv:1109.6792},
year = {2011}
}
Comments
4 pages. Version accepted in Phys. Rev. A