Dynamical Quantum Phase Transitions in the Dissipative Lipkin-Meshkov-Glick Model with Proposed Realization in Optical Cavity QED

2007/08/31 by S. Morrison, Sam Morrison, A. S. Parkins · 12 citations
Computer Science · Physics and Astronomy · #Neural Networks and Reservoir Computing #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physrevlett.100.040403

published as Phys. Rev. Lett. 100, 040403 (2008) · 4 pages, 4 figures, typos corrected and other minor changes

openalex publication_date 2008/01/31 · arxiv created 2008/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 nonequilibrium 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.

Citations

• Validity of many-body approximation methods for a solvable model
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• Entanglement entropy in the Lipkin-Meshkov-Glick model
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: Scaling of entanglement
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet

Cited by

• Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
• Dilute gas of ultracold two-level atoms inside a cavity: generalized Dicke model
• Circuit QED scheme for the realization of the Lipkin-Meshkov-Glick model
• PT-symmetry breaking phase transitions in an LMG dimer
• Decoherence as a signature of an excited-state quantum phase transition
• Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance
• Cavity QED Engineering of Spin Dynamics and Squeezing in a Spinor Gas
• Ensemble Inequivalence in Long-Range Quantum Spin Systems
• Driven-dissipative quantum dynamics in ultra-long-lived dipoles in an optical cavity
• Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas
• Lipkin-Meshkov-Glick model in a quantum Otto cycle
• Phase-space interference in extensive and nonextensive quantum heat engines

Related

• Collective spin systems in dispersive optical cavity QED: Quantum phase transitions and entanglement
• Dynamics of quantum phase transitions in Dicke and Lipkin-Meshkov-Glick models
• From Canonical to Tunable Phase Diagrams in Open Quantum Long-Range Systems
• Signatures of the superfluid-insulator phase transition in laser-driven dissipative nonlinear cavity arrays
• Observation of a Dissipation-Induced Classical to Quantum Transition