Excitations of Strongly Correlated Lattice Polaritons

Sebastian Schmidt, G. Blatter

Type: Article

Publication Date: 2010-05-24

Citations: 46

DOI: https://doi.org/10.1103/physrevlett.104.216402

Abstract

We present an analytic slave-boson approach to calculate the elementary excitations of the Jaynes-Cummings-Hubbard model (JCHM) describing strongly correlated polaritons on a lattice in various quantum optical systems. In the superfluid phase near the Mott transition we find a gapless, linear Goldstone mode and a gapped amplitude mode corresponding to phase and density fluctuations, respectively. The sound velocity of the Goldstone mode develops a peculiar anomaly as a function of detuning at low densities, which persists into the weakly interacting regime of a polariton BEC.

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