Abstract
An array of high- electromagnetic resonators coupled to qubits gives rise to the Jaynes-Cummings-Hubbard model describing a superfluid to Mott-insulator transition of lattice polaritons. From mean-field and strong-coupling expansions, the critical properties of the model are expected to be identical to the scalar Bose-Hubbard model. A recent Monte Carlo study of the superfluid density on the square lattice suggested that this does not hold for the fixed-density transition through the Mott lobe tip. Instead, mean-field behavior with a dynamical critical exponent was found. We perform large-scale quantum Monte Carlo simulations to investigate the critical behavior of the superfluid density and the compressibility. We find at the tip of the insulating lobe. Hence the transition falls in the three-dimensional universality class, analogous to the Bose-Hubbard model.
- Received 4 June 2011
DOI:https://doi.org/10.1103/PhysRevA.84.041608
©2011 American Physical Society