Disordered driven coupled cavity arrays: Non-equilibrium stochastic mean-field theory
arXiv:1212.5602 · doi:10.1103/PhysRevA.87.013840
Abstract
We study the interplay of disorder with pumping and decay in coupled qubit-cavity arrays, the Jaynes-Cummings-Hubbard model. We find that relatively weak disorder can wash out the bistability present in the clean pumped system, and that moreover, the combination of disorder in on-site energies and decay can lead to effective phase disorder. To explore these questions, we present a non- equilibrium generalisation of Stochastic-Mean-Field theory, providing a simple tool to address such questions. This technique is developed for rather general forms of light-matter coupling, driving, dissipation, and on-site disorder, making it applicable to a wide range of systems.
7 pages, 4 figures
References in corpus (29)
- Many-Body Physics with Ultracold Gases
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- An Open-System Quantum Simulator with Trapped Ions
- A Rydberg Quantum Simulator
- Quantum phase transitions of light
- Universal digital quantum simulation with trapped ions
- Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- A Bose-Einstein condensate in a random potential
- Nonlinear response of the vacuum Rabi resonance
- Strongly interacting bosons in a disordered optical lattice
- Dynamics of Nonequilibrium Dicke Models
- Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
- Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
- Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
- On the critical exponent of a quantum noise driven phase transition: the open system Dicke-model
- On the phase transition of light in cavity QED lattices
- Non-equilibrium dynamics of coupled qubit-cavity arrays
- Phase diagram of the disordered Bose-Hubbard model
- Excitations of optically driven atomic condensate in a cavity: theory of photodetection measurements
- Non-equilibrium many-body effects in driven nonlinear resonator arrays
- Density modulations in an elongated Bose-Einstein condensate released from a disordered potential
- Stochastic Mean-Field Theory: Method and Application to the Disordered Bose-Hubbard Model at Finite Temperature and Speckle Disorder
- Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model
- Exact solution of the Bose-Hubbard model on the Bethe lattice
- Two distinct Mott-Insulator to Bose-glass transitions and breakdown of self averaging in the disordered Bose-Hubbard model
- Equilibrium and Disorder-induced behavior in Quantum Light-Matter Systems
- A mean-field theory for strongly disordered non-frustrated antiferromagnets
Cited by in corpus (15)
- Circuit QED lattices: towards quantum simulation with superconducting circuits
- Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
- Driven dissipative dynamics and topology of quantum impurity systems
- Quantum Dynamics of the Driven and Dissipative Rabi Model
- Superfluid Stiffness of a Driven Dissipative Condensate with Disorder
- Resummation for Nonequilibrium Perturbation Theory and Application to Open Quantum Lattices
- Optimal stochastic unraveling of disordered open quantum systems: application to driven-dissipative photonic lattices
- Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems
- Supersolid and pair correlations of the extended Jaynes-Cummings-Hubbard model on triangular lattices
- Population inversion and entanglement in single and double glassy Jaynes-Cummings models
- From the Jaynes-Cummings-Hubbard to the Dicke model
- Worm quantum Monte-Carlo study of phase diagram of extended Jaynes-Cummings-Hubbard model
- Simulating systems of itinerant spin-carrying particles using arrays of superconducting qubits and resonators
- Quench dynamics of a disordered array of dissipative coupled cavities
- Superfluid-Mott-insulator phase transition of light in a two-mode cavity array with ultrastrong coupling