Polaritons and Pairing Phenomena in Bose--Hubbard Mixtures

Abstract

Motivated by recent experiments on cold atomic gases in ultra high finesse optical cavities, we consider the problem of a two-band Bose--Hubbard model coupled to quantum light. Photoexcitation promotes carriers between the bands and we study the non-trivial interplay between Mott insulating behavior and superfluidity. The model displays a global U(1) X U(1) symmetry which supports the coexistence of Mott insulating and superfluid phases, and yields a rich phase diagram with multicritical points. This symmetry property is shared by several other problems of current experimental interest, including two-component Bose gases in optical lattices, and the bosonic BEC-BCS crossover problem for atom-molecule mixtures induced by a Feshbach resonance. We corroborate our findings by numerical simulations.

4 pages, 3 figures

References in corpus (6)

• Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
• Cavity Opto-Mechanics with a Bose-Einstein Condensate
• Cavity QED with a Bose-Einstein condensate
• Models of coherent exciton condensation
• Phase Separation in two-Species Atomic Bose-Einstein Condensate with Interspecies Feshbach Resonance
• Feshbach-Einstein condensates

Cited by in corpus (4)

• Strong coupling theory for the Jaynes-Cummings-Hubbard model
• Excitation spectra of strongly correlated lattice bosons and polaritons
• Supersolidity of cold-atom Bose-Fermi mixtures in optical lattices
• Quantum Phases of Ultracold Bosonic Atoms in two Bands of an Optical-Lattice coupled by a Cavity Field