Quantum criticality in the nonunitary dynamics of $(2+1)$-dimensional free fermions

• URL: http://arxiv.org/abs/2101.04320v2
• Date: Wed, 12 May 2021 16:16:09 GMT
• Title: Quantum criticality in the nonunitary dynamics of $(2+1)$-dimensional free fermions
• Authors: Qicheng Tang, Xiao Chen and W. Zhu
• Abstract summary: We show that the obtained steady state is critical regardless the strength of the nonunitary evolution. Numerical results indicate that the entanglement entropy has a logarithmic violation of the area-law.
• Score: 5.691318972818067
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We explore the nonunitary dynamics of $(2+1)$-dimensional free fermions and show that the obtained steady state is critical regardless the strength of the nonunitary evolution. Numerical results indicate that the entanglement entropy has a logarithmic violation of the area-law and the mutual information between two distant regions decays as a power-law function. In particular, we provide an interpretation of these scaling behaviors in terms of a simple quasiparticle pair picture. In addition, we study the dynamics of the correlation function and demonstrate that this system has dynamical exponent $z=1$. We further demonstrate the dynamics of the correlation function can be well captured by a classical nonlinear master equation. Our method opens a door to a vast number of nonunitary random dynamics in free fermions and can be generalized to any dimensions.

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