Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED

Abstract

We present an optical cavity QED configuration that is described by a dissipative version of the Lipkin-Meshkov-Glick model of an infinitely coordinated spin system. This open quantum system exhibits both first- and second-order non-equilibrium quantum phase transitions as a single, effective field parameter is varied. Light emitted from the cavity offers measurable signatures of the critical behavior, including that of the spin-spin entanglement.

4 pages, 4 figures, typos corrected and other minor changes

References in corpus (14)

• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
• Entanglement and the Phase Transition in Single Mode Superradiance
• Entanglement in the Dicke model
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• Entanglement entropy in the Lipkin-Meshkov-Glick model
• Spin squeezing inequalities and entanglement of $N$ qubit states
• Entanglement in a first order quantum phase transition
• Entanglement and Entropy in a Spin-Boson Quantum Phase Transition
• Normal mode splitting and mechanical effects of an optical lattice in a ring cavity
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement
• Creating and probing long-range order in atomic clouds

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