| Issue |
EPL
Volume 90, Number 5, June 2010
|
|
|---|---|---|
| Article Number | 54001 | |
| Number of page(s) | 6 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/90/54001 | |
| Published online | 15 June 2010 | |
Circuit QED scheme for the realization of the Lipkin-Meshkov-Glick model
Department of Physics, Stockholm University - 106 91 Stockholm, Sweden, EU
Received:
3
May
2010
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
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