Journal
PHYSICAL REVIEW B
Volume 103, Issue 17, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.174303
Keywords
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Funding
- foundation of Westlake University
- Key R&D Program of Zhejiang Province, China [2021C01002]
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The nonunitary dynamics of (2 + 1)-dimensional free fermions result in a critical steady state regardless of the strength of the nonunitary evolution. Numerical results show a logarithmic violation of the area law for entanglement entropy and decay of mutual information between distant regions as a power-law function. Additionally, the study demonstrates a dynamical exponent of z = 1 and the ability to capture the dynamics of the correlation function with a classical nonlinear master equation.
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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