Bosonic Dynamical Mean-Field Theory
Quantum Gases
2013-07-22 v3
Abstract
We derive the Bosonic Dynamical Mean-Field equations for bosonic atoms in optical lattices with arbitrary lattice geometry. The equations are presented as a systematic expansion in 1/z, z being the number of lattice neighbors. Hence the theory is applicable in sufficiently high dimensional lattices. We apply the method to a two-component mixture, for which a rich phase diagram with spin-order is revealed.
Cite
@article{arxiv.1007.5223,
title = {Bosonic Dynamical Mean-Field Theory},
author = {Michiel Snoek and Walter Hofstetter},
journal= {arXiv preprint arXiv:1007.5223},
year = {2013}
}
Comments
Unedited version of chapter in Quantum Gases: Finite Temperature and Non-Equilibrium Dynamics (Vol. 1 Cold Atoms Series). N.P. Proukakis, S.A. Gardiner, M.J. Davis and M.H. Szymanska, eds. (Imperial College Press, London, 2013). See http://www.icpress.co.uk/physics/p817.html