학술논문

Purification phase transition in the central spin model: second R\'enyi entropy in dual space approach
Document Type
Working Paper
Source
Subject
Quantum Physics
Condensed Matter - Other Condensed Matter
Language
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.
Comment: 9 pages