Related papers: Measurement-induced criticality in $\mathbb{Z}

Measurement-induced criticality in $\mathbb{Z}_2$-symmetric quantum automaton circuits

URL: http://arxiv.org/abs/2110.10726v2
Date: Wed, 2 Mar 2022 19:02:33 GMT
Title: Measurement-induced criticality in $\mathbb{Z}_2$-symmetric quantum automaton circuits
Authors: Yiqiu Han, Xiao Chen
Abstract summary: We study entanglement dynamics in hybrid $mathbbZ$-symmetric quantum automaton circuits. We show that there exists an entanglement phase transition from a volume law phase to a critical phase by varying the measurement rate $p$.
Score: 6.723539428281127
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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 $p\geq p_c$ and the associated dynamical exponents are also confirmed in the purification dynamics.

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