Probing the many-body localized spin-glass phase through quench dynamics

Fuente: arXiv
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Autori principali: Brighi, Pietro, Ljubotina, Marko, Serbyn, Maksym
Natura: Preprint
Pubblicazione: 2025
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author Brighi, Pietro
Ljubotina, Marko
Serbyn, Maksym
author_facet Brighi, Pietro
Ljubotina, Marko
Serbyn, Maksym
contents Eigenstates of quantum many-body systems are often used to define phases of matter in and out of equilibrium; however, experimentally accessing highly excited eigenstates is a challenging task, calling for alternative strategies to dynamically probe nonequilibrium phases. In this work, we characterize the dynamical properties of a disordered spin chain, focusing on the spin-glass regime. Using tensor-network simulations, we observe oscillatory behavior of local expectation values and bipartite entanglement entropy. We explain these oscillations deep in the many-body localized spin glass regime via a simple theoretical model. From perturbation theory, we predict the timescales up to which our analytical description is valid and confirm it with numerical simulations. Finally, we study the correlation length dynamics, which, after a long-time plateau, resumes growing in line with renormalization group (RG) expectations. Our work suggests that RG predictions can be quantitatively tested against numerical simulations and experiments, potentially enabling microscopic descriptions of dynamical phases in large systems.
format Preprint
id arxiv_https___arxiv_org_abs_2502_08192
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probing the many-body localized spin-glass phase through quench dynamics
Brighi, Pietro
Ljubotina, Marko
Serbyn, Maksym
Disordered Systems and Neural Networks
Quantum Gases
Strongly Correlated Electrons
Quantum Physics
Eigenstates of quantum many-body systems are often used to define phases of matter in and out of equilibrium; however, experimentally accessing highly excited eigenstates is a challenging task, calling for alternative strategies to dynamically probe nonequilibrium phases. In this work, we characterize the dynamical properties of a disordered spin chain, focusing on the spin-glass regime. Using tensor-network simulations, we observe oscillatory behavior of local expectation values and bipartite entanglement entropy. We explain these oscillations deep in the many-body localized spin glass regime via a simple theoretical model. From perturbation theory, we predict the timescales up to which our analytical description is valid and confirm it with numerical simulations. Finally, we study the correlation length dynamics, which, after a long-time plateau, resumes growing in line with renormalization group (RG) expectations. Our work suggests that RG predictions can be quantitatively tested against numerical simulations and experiments, potentially enabling microscopic descriptions of dynamical phases in large systems.
title Probing the many-body localized spin-glass phase through quench dynamics
topic Disordered Systems and Neural Networks
Quantum Gases
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2502.08192