Superfluid-Mott-insulator transition of light in the Jaynes-Cummings lattice

Jens Koch*, Karyn Le Hur

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

128 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number023811
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume80
Issue number2
DOIs
StatePublished - Aug 17 2009

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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