English

Strong coupling theory for the Jaynes-Cummings-Hubbard model

Other Condensed Matter 2009-09-01 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0905.3344,
  title  = {Strong coupling theory for the Jaynes-Cummings-Hubbard model},
  author = {S. Schmidt and G. Blatter},
  journal= {arXiv preprint arXiv:0905.3344},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T13:04:20.842Z