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- W3206197912 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 $pgeq p_c$ and the associated dynamical exponents are also confirmed in the purification dynamics." @default.
- W3206197912 created "2021-10-25" @default.
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- W3206197912 date "2021-10-20" @default.
- W3206197912 modified "2023-09-27" @default.
- W3206197912 title "Measurement induced criticality in $mathbb{Z}_2$ symmetric quantum automaton circuits" @default.
- W3206197912 hasPublicationYear "2021" @default.
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