Gutzwiller Monte Carlo approach for a critical dissipative spin model

Abstract

We use the Gutzwiller Monte Carlo approach to simulate the dissipative XYZ-model in the vicinity of a dissipative phase transition. This approach captures classical spatial correlations together with the full on-site quantum behavior, while neglecting non-local quantum effects. By considering finite two-dimensional lattices of various sizes, we identify a ferromagnetic and two paramagnetic phases, in agreement with earlier studies. The greatly reduced numerical complexity the Gutzwiller Monte Carlo approach facilitates efficient simulation of relatively large lattice sizes. The inclusion of the spatial correlations allows to describe critical behavior which is completely missed by the widely applied Gutzwiller decoupling of the density matrix.

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• Solving the Liouvillian Gap with Artificial Neural Networks
• Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
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• Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories
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• The temporal coherence of a photon condensate: A quantum trajectory description
• Dissipative dynamics in open XXZ Richardson-Gaudin models
• A quantum algorithm for the direct estimation of the steady state of open quantum systems
• Adaptive variational low-rank dynamics for open quantum systems
• Nonuniform phases in the geometrically frustrated dissipative XYZ model
• On the complexity of the steady-state of weakly symmetric open quantum lattices
• Steady-state susceptibility in continuous phase transitions of dissipative systems
• The failure of semiclassical approach in the dissipative fully-connected Ising model