Driven-dissipative criticality within the discrete truncated Wigner approximation

Abstract

We present an approach to the numerical simulation of open quantum many-body systems based on the semiclassical framework of the discrete truncated Wigner approximation. We establish a quantum jump formalism to integrate the quantum master equation describing the dynamics of the system, which we find to be exact in both the noninteracting limit and the limit where the system is described by classical rate equations. We apply our method to simulation of the paradigmatic dissipative Ising model, where we are able to capture the critical fluctuations of the system beyond the level of mean-field theory.

arXiv comment7+7 pages, 4+4 figures

References in corpus (59)

• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• Quantum fluids of light
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• An Open-System Quantum Simulator with Trapped Ions
• Quantum trajectories and open many-body quantum systems
• A Rydberg Quantum Simulator
• Quantum-fluid dynamics of microcavity polaritons
• Phase space representation of quantum dynamics
• Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
• Keldysh Field Theory for Driven Open Quantum Systems
• The Dicke model phase transition in the quantum motion of a Bose-Einstein condensate in an optical cavity
• Photon-Photon Interactions via Rydberg Blockade
• Dissipative Phase Transition in Central Spin Systems
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Cooperative non-equilibrium phase transition in a dilute Rydberg ensemble
• Simulation methods for open quantum many-body systems
• Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms
• Unconventional magnetism via optical pumping of interacting spin systems
• Steady-state phases and tunneling-induced instabilities in the driven-dissipative Bose-Hubbard model
• Many-Body Quantum Spin Dynamics with Monte Carlo Trajectories on a Discrete Phase Space
• Variational principle for steady states of dissipative quantum many-body systems
• Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
• Universal non-equilibrium properties of dissipative Rydberg gases
• Full counting statistics and phase diagram of a dissipative Rydberg gas
• Nonequilibrium many-body steady states via Keldysh formalism
• Preparation of entangled and antiferromagnetic states by dissipative Rydberg pumping
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Polariton crystallization in driven arrays of lossy nonlinear resonators
• A simple tensor network algorithm for two-dimensional steady states
• Dark Entangled Steady States of Interacting Rydberg Atoms
• Driven Markovian Quantum Criticality
• Scalable Dissipative Preparation of Many-Body Entanglement
• Critical slowing down in driven-dissipative Bose-Hubbard lattices
• Non-equilibrium Berezinskii-Kosterlitz-Thouless Transition in a Driven Open Quantum System
• Nonequilibrium Phase Diagram of a Driven-Dissipative Many-Body System
• Spontaneous microcavity-polariton coherence across the parametric threshold: Quantum Monte Carlo studies
• Steady-state crystallization of Rydberg excitations in an optically driven lattice gas
• Absorbing state phase transition with competing quantum and classical fluctuations
• Critical behavior of dissipative two-dimensional spin lattices
• Critical exponents of steady-state phase transitions in fermionic lattice models
• Dissipative quantum control of a spin chain
• Quantum correlations in the 1-D driven dissipative transverse field XY model
• Phase diagram of the dissipative quantum Ising model on a square lattice
• Quantum contact process
• Exploring quantum phases by driven dissipation
• Phases of driven two-level systems with nonlocal dissipation
• Initialization of quantum simulators by sympathetic cooling
• Engineered thermalization and cooling of quantum many-body systems
• Quantum correlations and limit cycles in the driven-dissipative Heisenberg lattice
• Realistic simulations of spin squeezing and cooperative coupling effects in large ensembles of interacting two-level systems
• Phase-Space Methods for Simulating the Dissipative Many-Body Dynamics of Collective Spin Systems
• Quantum phases of strongly interacting Rydberg atoms in triangular lattices
• Quenches near criticality of the quantum Ising chain---power and limitations of the discrete truncated Wigner approximation
• An Operational Definition of Topological Order
• Quantum many-body dynamics of driven-dissipative Rydberg polaritons
• Tailored jump operators for purely dissipative quantum magnetism

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• Collective Radiative Interactions in the Discrete Truncated Wigner Approximation
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• Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories
• User-friendly TWA for dissipative spin dynamics
• Driven-dissipative Rydberg blockade in optical lattices
• Motional decoherence in ultracold Rydberg atom quantum simulators of spin models
• Crossover from the discontinuous to continuous phase transitions in dissipative spin system with collective decay
• Open quantum dynamics with variational non-Gaussian states and the truncated Wigner approximation
• A matrix product operator approach to non-equilibrium Floquet steady states
• Two-dimensional correlation propagation dynamics with a cluster discrete phase-space method
• Tensor-network-based variational Monte Carlo approach to the non-equilibrium steady state of open quantum systems
• Discrete-phase-space method for driven-dissipative dynamics of strongly interacting bosons in optical lattices
• Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
• Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
• Path-Integral Formulation of Bosonic Markovian Open Quantum Dynamics with Monte Carlo stochastic trajectories using the Glauber-Sudarshan P, Wigner, and Husimi Q Functions and Hybrids
• Genuine Bistability in Open Quantum Many-Body Systems
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