Polaritons and Pairing Phenomena in Bose--Hubbard Mixtures

Details Polaritons and Pairing Phenomena in Bose--Hubbard Mixtures Polaritons and Pairing Phenomena in Bose--Hubbard Mixtures

2008-12-01

arxiv.org/abs/0812.0356v2

Phys. Rev. Lett. 102, 135301 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.102.135301

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.

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