Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model

Details Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model

2010-04-28

arxiv.org/abs/1004.5041v2

Europhys. Lett. 90, 54001 (2010)

Physics

Quantum Physics

5 pages, 2 figures

Scientific paper

10.1209/0295-5075/90/54001

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.

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