Polaritons and Pairing Phenomena in Bose--Hubbard Mixtures
arXiv:0812.0356 · doi:10.1103/PhysRevLett.102.135301
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
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- Excitation spectra of strongly correlated lattice bosons and polaritons
- Quantum Phase Transitions of the Bose-Hubbard Model inside a Cavity
- Superradiance induced particle flow via dynamical gauge coupling
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- Excitations of strongly correlated polaritons
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