Strong coupling theory for the Jaynes-Cummings-Hubbard model

Details Strong coupling theory for the Jaynes-Cummings-Hubbard model Strong coupling theory for the Jaynes-Cummings-Hubbard model

2009-05-20

arxiv.org/abs/0905.3344v2

Phys. Rev. Lett. 103, 086403 (2009)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 3 figures, minor changes, final version accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.103.086403

We present an analytic strong-coupling approach to the phase diagram and elementary excitations of the Jaynes-Cummings-Hubbard model describing a superfluid-insulator transition of polaritons in an array of coupled QED cavities. In the Mott phase, we find four modes corresponding to particle/hole excitations with lower and upper polaritons, respectively. Simple formulas are derived for the dispersion relation and spectral weights within a strong-coupling random-phase approximation (RPA). The phase boundary is calculated beyond RPA by including the leading correction due to quantum fluctuations.

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