Measurement-induced entanglement transition in chaotic quantum Ising chain

Fuente: arXiv
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Autores principales: Malakar, Manali, Brenes, Marlon, Segal, Dvira, Silva, Alessandro
Formato: Preprint
Publicado: 2024
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author Malakar, Manali
Brenes, Marlon
Segal, Dvira
Silva, Alessandro
author_facet Malakar, Manali
Brenes, Marlon
Segal, Dvira
Silva, Alessandro
contents We numerically investigate the robustness against various perturbations of measurement-induced phase transition in monitored quantum Ising models in the no-click limit, where the dynamics is described by a non-Hermitian Hamiltonian. We study perturbations that break the integrability and/or the symmetry of the model, as well as modifications in the measurement protocol, characterizing the resulting chaos and lack of integrability through the Dissipative Spectral Form Factor (DSFF). We show that while the measurement-induced phase transition and its properties appear to be broadly insensitive to lack of integrability and breaking of the $\mathbb{Z_2}$ symmetry, a modification of the measurement basis from the transverse to the longitudinal direction makes the phase transition disappear altogether.
format Preprint
id arxiv_https___arxiv_org_abs_2407_08703
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Measurement-induced entanglement transition in chaotic quantum Ising chain
Malakar, Manali
Brenes, Marlon
Segal, Dvira
Silva, Alessandro
Quantum Physics
Statistical Mechanics
We numerically investigate the robustness against various perturbations of measurement-induced phase transition in monitored quantum Ising models in the no-click limit, where the dynamics is described by a non-Hermitian Hamiltonian. We study perturbations that break the integrability and/or the symmetry of the model, as well as modifications in the measurement protocol, characterizing the resulting chaos and lack of integrability through the Dissipative Spectral Form Factor (DSFF). We show that while the measurement-induced phase transition and its properties appear to be broadly insensitive to lack of integrability and breaking of the $\mathbb{Z_2}$ symmetry, a modification of the measurement basis from the transverse to the longitudinal direction makes the phase transition disappear altogether.
title Measurement-induced entanglement transition in chaotic quantum Ising chain
topic Quantum Physics
Statistical Mechanics
url https://arxiv.org/abs/2407.08703