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. 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.

中文翻译：

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耗散相变中临界指数的确定：相干异常方法

我们提出了相干异常方法的推广，以提取在开放量子多体系统的稳态中发生的相变的临界指数。该方法最初由 Suzuki [ J. Phys. 社会。日本。 55 , 4205 (1986)] 对于平衡系统，基于通过集群平均场计算确定的响应函数中奇点的标度属性。我们将此方法应用于耗散横向场 Ising 模型和耗散$X是Z$ 二维模型已经在小集群中获得收敛结果。