Related papers: Measurement induced phase transition in the central spin model: second Rényi entropy in dual space approach

Measurement induced phase transition in the central spin model: second Rényi entropy in dual space approach

URL: http://arxiv.org/abs/2404.15717v2
Date: Mon, 2 Sep 2024 14:42:09 GMT
Title: Measurement induced phase transition in the central spin model: second Rényi entropy in dual space approach
Authors: V. V. Belov, W. V. Pogosov,
Abstract summary: We conduct a numerical investigation of the dynamics of the central spin model in the presence of measurement processes. To characterize the measurement-induced phase transition in this system, we employ a recently developed method based on second R'enyi entropy in dual space.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We conduct a numerical investigation of the dynamics of the central spin model in the presence of measurement processes. This model holds promise for experimental exploration due to its topology, which facilitates the natural distinction of a central particle and the quantum bath as different subsystems, allowing for the examination of entanglement phase transitions. To characterize the measurement-induced phase transition in this system, we employ a recently developed method based on second R\'enyi entropy in dual space. Our simulations account for decoherence, energy relaxation, and gate errors. We determine critical measurement rates and demonstrate that they significantly differ from those predicted by a simple approach based on mutual entropy.

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