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- W4220802605 abstract "We study entanglement dynamics in hybrid ${mathbb{Z}}_{2}$-symmetric quantum automaton circuits subject to local composite measurements. We show that there exists an entanglement phase transition from a volume-law phase to a critical phase by varying the measurement rate $p$. By analyzing the underlying classical bit-string dynamics, we demonstrate that the critical point belongs to parity-conserving universality class. We further show that the critical phase with $p>{p}_{c}$ is related to the diffusion-annihilation process and is protected by the ${mathbb{Z}}_{2}$-symmetric measurement. We give an interpretation of the entanglement entropy in terms of a two-species particle model and identify the coefficient in front of the critical logarithmic entanglement scaling as the local persistent coefficient. The critical behavior observed at $pensuremath{ge}{p}_{c}$ and the associated dynamical exponents are also confirmed in the purification dynamics." @default.
- W4220802605 created "2022-04-03" @default.
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- W4220802605 date "2022-02-28" @default.
- W4220802605 modified "2023-10-02" @default.
- W4220802605 title "Measurement-induced criticality in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi mathvariant=double-struck>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> -symmetric quantum automaton circuits" @default.
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- W4220802605 doi "https://doi.org/10.1103/physrevb.105.064306" @default.
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