Determination of the critical exponents in dissipative phase transitions: Coherent anomaly approach

Abstract

We propose a generalization of the coherent anomaly method to extract the critical exponents of a phase transition occurring in the steady-state of an open quantum many-body system. The method, originally developed by Suzuki [J. Phys. Soc. Jpn. {\bf 55}, 4205 (1986)] for equilibrium systems, is based on the scaling properties of the singularity in the response functions determined through cluster mean-field calculations. We apply this method to the dissipative transverse-field Ising model and the dissipative XYZ model in two dimensions obtaining convergent results already with small clusters.

Accepted version, 9 pages, 7 figures

References in corpus (13)

• Cold atoms in cavity-generated dynamical optical potentials
• Quantum trajectories and open many-body quantum systems
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Neural-Network Approach to Dissipative Quantum Many-Body Dynamics
• Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems
• Variational neural network ansatz for steady states in open quantum systems
• Variational principle for steady states of dissipative quantum many-body systems
• Constructing neural stationary states for open quantum many-body systems
• Universal non-equilibrium properties of dissipative Rydberg gases
• Linked cluster expansions for open quantum systems on a lattice
• Cluster mean-field approximations with the coherent-anomaly-method analysis for the driven pair contact process with diffusion
• Generating function, path integral representation, and equivalence for stochastic exclusive particle systems