Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model
arXiv:1004.5041 · doi:10.1209/0295-5075/90/54001
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.
5 pages, 2 figures
References in corpus (21)
- Finite-Time Disentanglement via Spontaneous Emission
- Coupling Superconducting Qubits via a Cavity Bus
- Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
- Resolving photon number states in a superconducting circuit
- Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
- Cavity Opto-Mechanics with a Bose-Einstein Condensate
- Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
- Dispersive optomechanics: a membrane inside a cavity
- Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
- Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
- Cooling to the Ground State of Axial Motion for One Atom Strongly Coupled to an Optical Cavity
- Mott insulator states of ultracold atoms in optical resonators
- Deterministic loading of individual atoms to a high-finesse optical cavity
- Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
- Collective spin systems in dispersive optical cavity QED: Quantum phase transitions and entanglement
- Fully-connected network of superconducting qubits in a cavity
- Circuit QED and sudden phase switching in a superconducting qubit array
- Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
- Optically controlled spin-glasses in multi-qubit cavity systems
Cited by in corpus (20)
- Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
- Quantum metrology in Lipkin-Meshkov-Glick critical systems
- Some remarks on 'superradiant' phase transitions in light-matter systems
- Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
- Off-resonant Dicke Quantum Battery: Charging by Virtual Photons
- Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
- Quadratic Enhancement in the Reliability of Collective Quantum Engines
- Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects
- Interaction induced Landau-Zener transitions
- Ensemble inequivalence in long-range quantum systems
- Anomalous decoherence and absence of thermalization in a photonic many-body system
- Inherent quantum resources in stationary spin chains
- A Floquet analysis perspective of driven light-matter interaction models
- Schmidt decomposition of parity adapted coherent states for symmetric multi-quDits
- Two-axis spin squeezing in two cavities
- Precision magnetometry exploiting excited state quantum phase transitions
- Ensemble Inequivalence in Long-Range Quantum Spin Systems
- Classical dynamics of a two-species Bose-Einstein condensate in the presence of nonlinear maser processes
- Quantum sensing with discrete time crystals in the Lipkin-Meshkov-Glick Model
- Mutual information in interacting spin systems