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

Abstract

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.

arXiv comment5 pages, 2 figures

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• Some remarks on 'superradiant' phase transitions in light-matter systems
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• Dissipation driven quantum phase transitions and symmetry breaking
• Kuramoto dynamics in Hamiltonian systems
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• Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
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• The Hong-Ou-Mandel effect with atoms
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