Circuit QED scheme for the realization of the Lipkin-Meshkov-Glick model
Department of Physics, Stockholm University - 106 91 Stockholm, Sweden, EU
Accepted: 1 June 2010
We propose a scheme in which the Lipkin-Meshkov-Glick model is realized within a circuit QED system. An array of N superconducting qubits interacts with a driven cavity mode. In the dispersive regime, the cavity mode is adiabatically eliminated generating an effective model for the qubits alone. The characteristic long-range order of the Lipkin-Meshkov-Glick model is here mediated by the cavity field. For a closed qubit system, the inherent second-order phase transition of the qubits is reflected in the intensity of the output cavity field. In the broken symmetry phase, the many-body ground state is highly entangled. Relaxation of the qubits is analyzed within a mean-field treatment. The second-order phase transition is lost, while new bistable regimes occur.
PACS: 42.50.Pq – Cavity quantum electrodynamics; micromasers / 05.30.Rt – Quantum phase transitions / 42.50.Ct – Quantum description of interaction of light and matter; related experiments
© EPLA, 2010