Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice

Details Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice

2009-05-25

arxiv.org/abs/0905.4005v2

Phys. Rev. A 80, 023811 (2009)

Physics

Condensed Matter

Other Condensed Matter

13 pages, 5 figures; minor changes, version accepted for publication in PRA

Scientific paper

10.1103/PhysRevA.80.023811

Regular arrays of electromagnetic resonators, in turn coupled coherently to individual quantum two-level systems, exhibit a quantum phase transition of polaritons from a superfluid phase to a Mott-insulating phase. The critical behavior of such a Jaynes-Cummings lattice thus resembles the physics of the Bose-Hubbard model. We explore this analogy by elaborating on the mean-field theory of the phase transition, and by presenting several useful mappings which pinpoint both similarities and differences of the two models. We show that a field-theory approach can be applied to prove the existence of multicritical curves analogous to the multicritical points of the Bose-Hubbard model, and we provide analytical expressions for the position of these curves.

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