Generalized Lindblad Master Equation for Measurement-Induced Phase Transition
Abstract
The measurement-induced phase transition (MIPT) occurs when the system is evolving under unitary evolution together with local measurements followed by post-selection. We propose a generalized version of the Lindblad master equation as a continuous equation, to describe the dynamics of second R\'enyi entropy in the MIPT. This generalized Lindblad equation explicitly takes into account the post-selection in the MIPT, which is realized as the Einstein-Podolsky-Rosen (EPR) state projection in the equation. Also, this generalized Lindblad equation preserves the Hermitian, unit trace, and positive definiteness of the density matrix. We further use the hard-core Bose-Hubbard model as a concrete example to numerically confirm that our generalized Lindblad equation is applicable to describing the MIPT.
Keywords
Cite
@article{arxiv.2204.09049,
title = {Generalized Lindblad Master Equation for Measurement-Induced Phase Transition},
author = {Yi-Neng Zhou},
journal= {arXiv preprint arXiv:2204.09049},
year = {2023}
}
Comments
11 pages, 3 figures, and appendix 8 pages, 6 figures