Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

Many-body localization (MBL) describes a class of systems that do not approach thermal
equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form …

In this paper we first compute the out-of-time-order correlators (OTOC) for both a
phenomenological model and a random-field XXZ model in the many-body localized phase …

We study the operator growth problem and its complexity in the many-body localization
(MBL) system from the Lanczos algorithm perspective. Using the Krylov basis, the operator …

Entanglement growth and out-of-time-order correlators (OTOC) are used to assess the
propagation of information in isolated quantum systems. In this work, using large scale exact …

Many aspects of many-body localization (MBL) transitions remain elusive so far. Here, we
propose a higher-dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model and …

We introduce a method to efficiently study the dynamical properties of many-body localized
systems in the regime of strong disorder and weak interactions. Our method reproduces …

Quantum many-body scarred systems host special nonthermal eigenstates that support
periodic revival dynamics and weakly break the ergodicity. Here, we study the quantum …

We explore the finite-temperature dynamics of the quasi-1D orbital compass and plaquette
Ising models. We map these systems onto a model of free fermions coupled to strictly …

We analyze a Floquet circuit with random Clifford gates in one and two spatial dimensions.
By using random graphs and methods from percolation theory, we prove in the two …