Nonequilibrium Phase Transition of Interacting Bosons in an Intra-Cavity Optical Lattice

Abstract

We investigate the nonlinear light-matter interaction of a Bose-Einstein condensate trapped in an external periodic potential inside an optical cavity which is weakly coupled to vacuum radiation modes and driven by a transverse pump field. Based on a generalized Bose-Hubbard model which incorporates a single cavity mode, we include the collective backaction of the atoms on the cavity light field and determine the nonequilibrium quantum phases within the nonperturbative bosonic dynamical mean-field theory.With the system parameters adapted to recent experiments, we find a quantum phase transition from a normal phase to a self-organized superfluid phase, which is related to the Hepp-Lieb-Dicke superradiance phase transition. For even stronger pumping, a self-organized Mott insulator phase arises.

5 pages, 4 figures. published version

References in corpus (6)

• Cold atoms in cavity-generated dynamical optical potentials
• Dynamical phase transition in the open Dicke model
• Self-organization of a Bose-Einstein condensate in an optical cavity
• Ultracold atoms in optical lattices generated by quantized light fields
• Mott insulator states of ultracold atoms in optical resonators
• Steering matter wave superradiance with an ultra-narrowband optical cavity

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