Probing the many-body localized spin-glass phase through quench dynamics Brighi, Pietro ; https://orcid.org/0000-0002-7969-2729 Ljubotina, Marko ; https://orcid.org/0000-0003-0038-7068 Serbyn, Maksym ; https://orcid.org/0000-0002-2399-5827 ddc:530 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, resume 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. American Physical Society 2025 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_6501 https://research-explorer.ista.ac.at/record/19833 https://research-explorer.ista.ac.at/download/19833/19861 Brighi P, Ljubotina M, Serbyn M. Probing the many-body localized spin-glass phase through quench dynamics. <i>Physical Review B</i>. 2025;111(22). doi:<a href="https://doi.org/10.1103/9fms-ygfz">10.1103/9fms-ygfz</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1103/9fms-ygfz info:eu-repo/semantics/altIdentifier/issn/2469-9950 info:eu-repo/semantics/altIdentifier/e-issn/2469-9969 info:eu-repo/semantics/altIdentifier/wos/001511503800006 info:eu-repo/semantics/altIdentifier/arxiv/2502.08192 info:eu-repo/semantics/openAccess