Bosonic Dynamical Mean-Field Theory

TL;DR

This paper develops a systematic Bosonic Dynamical Mean-Field Theory for bosonic atoms in optical lattices, applicable to high-dimensional lattices, and explores a two-component mixture revealing complex phase behavior.

Contribution

It introduces a new derivation of Bosonic DMFT equations as a 1/z expansion, extending the method's applicability to arbitrary lattice geometries.

Findings

Derived Bosonic DMFT equations for arbitrary lattice geometries.

Applied the theory to a two-component mixture showing a rich phase diagram.

Revealed spin-order phenomena in bosonic lattice systems.

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.