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.

7+7 pages, 4+4 figures

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Cited by in corpus (22)

• Universality in driven open quantum matter
• Ergodicity breaking from Rydberg clusters in a driven-dissipative many-body system
• Dissipative time crystals with long-range Lindbladians
• Realistic simulations of spin squeezing and cooperative coupling effects in large ensembles of interacting two-level systems
• Hybrid discrete-continuous truncated Wigner approximation for driven, dissipative spin systems
• Collective Radiative Interactions in the Discrete Truncated Wigner Approximation
• Exact solution of the infinite-range dissipative transverse-field Ising model
• 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
• Emulation of large-scale qubit registers with a phase-space approach