Functional-integral representation of atomic mixtures
Other Condensed Matter
2017-08-23 v1
Abstract
A mixture of spin-1/2 fermionic atoms and molecules of paired fermionic atoms is studied in an optical lattice. The molecules are formed by an attractive nearest-neighbor interaction. A functional integral is constructed for this many-body system and analyzed in terms of a mean-field approximation and Gaussian fluctuations. This provides a phase diagram with the two merging Mott insulators and an intermediate superfluid. The Gaussian fluctuations give rise to an induced repulsive dimer-dimer interaction mediated by the unpaired fermions. The effect of an unbalanced distribution of spin-up and spin-down fermions is also discussed.
Cite
@article{arxiv.0712.2128,
title = {Functional-integral representation of atomic mixtures},
author = {O. Fialko and K. Ziegler},
journal= {arXiv preprint arXiv:0712.2128},
year = {2017}
}
Comments
6 pages, 5 figures, contribution to 'Path Integrals, Dresden 2007'