Bosonic Dynamical Mean-Field Theory

Details Bosonic Dynamical Mean-Field Theory Bosonic Dynamical Mean-Field Theory

2010-07-29

arxiv.org/abs/1007.5223v1

Physics

Condensed Matter

Quantum Gases

Chapter to appear in "Non-Equilibrium Quantum Gases at Finite Temperatures" edited by Nick Proukakis, Simon Gardiner, Matt Dav

Scientific paper

We derive the Bosonic Dynamical Mean-Field equation 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.

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