Collective spin systems in dispersive optical cavity QED: Quantum phase transitions and entanglement

Abstract

We propose a cavity QED setup which implements a dissipative Lipkin-Meshkov-Glick model -- an interacting collective spin system. By varying the external model parameters the system can be made to undergo both first-and second-order quantum phase transitions, which are signified by dramatic changes in cavity output field properties, such as the probe laser transmission spectrum. The steady-state entanglement between pairs of atoms is shown to peak at the critical points and can be experimentally determined by suitable measurements on the cavity output field. The entanglement dynamics also exhibits pronounced variations in the vicinities of the phase transitions.

19 pages, 18 figures, shortened version

References in corpus (29)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• A toolbox for lattice spin models with polar molecules
• Multi-particle entanglement of hot trapped ions
• The cold atom Hubbard toolbox
• Effective quantum spin systems with ion traps
• Chaos and the Quantum Phase Transition in the Dicke Model
• Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
• Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
• Entanglement and the Phase Transition in Single Mode Superradiance
• Entanglement in a second order quantum phase transition
• Many particle entanglement in two-component Bose-Einstein Condensates
• 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 dynamics in the Lipkin-Meshkov-Glick model
• Entanglement and Entropy in a Spin-Boson Quantum Phase Transition
• Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
• Generation of many-particle entanglement in an ion trap by adiabatic ground-state transitions
• Entanglement Entropy beyond the Free Case
• Normal mode splitting and mechanical effects of an optical lattice in a ring cavity
• Concurrence in collective models
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement
• Entanglement generation by adiabatic navigation in the space of symmetric multi-particle states
• Creating and probing long-range order in atomic clouds

Cited by in corpus (54)

• Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
• Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
• Dynamics of Nonequilibrium Dicke Models
• Realization of the Dicke model using cavity-assisted Raman transitions
• Collective Dynamics of Bose--Einstein Condensates in Optical Cavities
• Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
• Spin squeezing in a generalized one-axis twisting model
• Decoherence as a signature of an excited state quantum phase transition
• Cavity QED engineering of spin dynamics and squeezing in a spinor gas
• Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model
• Mean-field validity in a dissipative critical system: Liouvillian gap, $\mathbb{PT}$-symmetric antigap, and permutational symmetry in the $XYZ$ model
• Dissipative phase transitions: Independent versus collective decay and spin squeezing
• Jahn-Teller systems from a cavity QED perspective
• Generation of pure continuous-variable entangled cluster states of four separate atomic ensembles in a ring cavity
• Quantum phase transitions in fully connected spin models: an entanglement perspective
• Light-shift-induced quantum phase transitions of a Bose-Einstein condensate in the optical cavities
• Characterizing the energy gap and demonstrating an adiabatic quench in an interacting spin system
• Lipkin-Meshkov-Glick Model in a Quantum Otto Cycle
• Dilute gas of ultracold two-level atoms inside a cavity; generalized Dicke model
• Optical Superradiance from Nuclear Spin Environment of Single Photon Emitters
• Dissipative spin chains: Implementation with cold atoms and steady-state properties
• AC-driven Quantum Phase Transition in the Lipkin-Meshkov-Glick Model
• Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential
• Superradiance-like Electron Transport through a Quantum Dot
• Quantum entanglement and disentanglement of multi-atom systems
• Dissipation-driven quantum phase transitions in collective spin systems
• Nuclear Spin Dynamics in Double Quantum Dots: Multi-Stability, Dynamical Polarization, Criticality and Entanglement
• Engineering First-Order Quantum Phase Transitions for Weak Signal Detection
• Time delayed control of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model
• Creating a tunable spin squeezing via a time-dependent collective atom-photon coupling
• Limit Cycle Phase and Goldstone Mode in Driven Dissipative Systems
• Coherent Quantum Dynamics: What Fluctuations Can Tell
• Controlling Matter Phases beyond Markov
• Finite temperature Dicke phase transition of a Bose-Einstein condensate in an optical cavity
• Anomalous Thermalization in Quantum Collective Models
• Dynamics of genuine multipartite correlations in open quantum systems
• Study of decoherence in models for hard-core bosons coupled to optical phonons
• Ensemble inequivalence in long-range quantum systems
• Rapid production of many-body entanglement in spin-1 atoms via cavity output photon counting
• Quantum phase transitions in networks of Lipkin-Meshkov-Glick models
• Dynamical signatures of discontinuous phase transitions: How phase coexistence determines exponential versus power-law scaling
• Crossover from the discontinuous to continuous phase transitions in dissipative spin system with collective decay
• Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
• Transport through single-level systems: Spin dynamics in the nonadiabatic regime
• Dispersive Regimes of the Dicke Model
• Wiseman-Milburn Control for the Lipkin-Meshkov-Glick Model
• Preparing the spin-singlet state of a spinor gas in an optical cavity
• Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
• Short-time expansion of Heisenberg operators in open collective quantum spin systems
• Dissipative phase transition: from qubits to qudits
• Travelling to exotic places with cavity QED systems
• Ensemble Inequivalence in Long-Range Quantum Spin Systems
• Lasing and counter-lasing phase transitions in a cavity QED system
• Analysis of quantum phase transition in some different Curie-Weiss models: a unified approach