Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-08-18
Phys. Rev. A 81, 023617 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
16 pages, 17 figures
Scientific paper
10.1103/PhysRevA.81.023617
Recent experiments on strongly coupled cavity quantum electrodynamics present new directions in "matter-light" systems. Following on from our previous work [Phys. Rev. Lett. 102, 135301 (2009)] we investigate Bose-Hubbard models coupled to a cavity light field. We discuss the emergence of photoexcitations or "polaritons" within the Mott phase, and obtain the complete variational phase diagram. Exploiting connections to the super-radiance transition in the Dicke model we discuss the nature of polariton condensation within this novel state. Incorporating the effects of carrier superfluidity, we identify a first-order transition between the superradiant Mott phase and the single component atomic superfluid. The overall predictions of mean field theory are in excellent agreement with exact diagonalization and we provide details of superfluid fractions, density fluctuations, and finite size effects. We highlight connections to recent work on coupled cavity arrays.
Bhaseen M. J.
Hohenadler Martin
Silver A. O.
Simons Benjamin D.
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