Strong Coupling Theory for the Jaynes-Cummings-Hubbard Model
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 or hole excitations with lower and upper polaritons, respectively. Simple formulas are derived for the dispersion 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.
- Publication:
-
Physical Review Letters
- Pub Date:
- August 2009
- DOI:
- arXiv:
- arXiv:0905.3344
- Bibcode:
- 2009PhRvL.103h6403S
- Keywords:
-
- 71.36.+c;
- 42.50.Ct;
- 64.70.-p;
- 73.43.Nq;
- Polaritons;
- Quantum description of interaction of light and matter;
- related experiments;
- Specific phase transitions;
- Quantum phase transitions;
- Condensed Matter - Other Condensed Matter
- E-Print:
- 4 pages, 3 figures, minor changes, final version accepted for publication in PRL