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arXiv · 2604.05198

Decoding Equilibrium and Dynamical Criticality in the 2D Topological Order

Xiao-Ming Zhao·Cui-Xian Guo·Gaoyong Sun·Su-Peng Kou
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Abstract

Analytically connecting equilibrium criticality and dynamical quantum phase transitions (DQPTs) under complex driving fields remains a significant challenge, primarily due to the combinatorial complexity of non-local long-range entanglement. Here, we decode this connection in the 2D strongly interacting Wen-plaquette model. By mapping its anyonic excitations to 1D effective dissipative channels, we reveal that microscopic single-particle fidelity zeros exactly reconstruct the macroscopic equilibrium topological phase boundaries. Beyond equilibrium, we demonstrate that during non-unitary quench dynamics, these very same static singularities enforce a momentumspace exclusion against dynamical Fisher zeros. Furthermore, a newly identified dissipation-phase racing mechanism prematurely depletes the decaying mode, suppressing DQPTs and generating topologically trivial steady states. Our results establish exact microscopic static singularities as an analytical decoder for macroscopic non-unitary topological dynamics involving discrete symmetry breaking.

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Xiao-Ming Zhao, Cui-Xian Guo, Gaoyong Sun, Su-Peng Kou. 2026-04-06. Decoding Equilibrium and Dynamical Criticality in the 2D Topological Order. https://doi.org/10.1088/0256-307x%2F43%2F7%2F070707

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