The ergodic side of the many‐body localization transition
Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …
body localization (MBL), which shows subexponential relaxation of local observables …
Dynamics and transport at the threshold of many-body localization
S Gopalakrishnan, SA Parameswaran - Physics Reports, 2020 - Elsevier
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 …
equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form …
[HTML][HTML] Out-of-time-order correlation for many-body localization
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 …
phenomenological model and a random-field XXZ model in the many-body localized phase …
Krylov complexity of many-body localization: Operator localization in Krylov basis
F Ballar Trigueros, CJ Lin - SciPost Physics, 2022 - scipost.org
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 …
(MBL) system from the Lanczos algorithm perspective. Using the Krylov basis, the operator …
Information propagation in isolated quantum systems
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 …
propagation of information in isolated quantum systems. In this work, using large scale exact …
Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
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 …
propose a higher-dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model and …
Efficiently solving the dynamics of many-body localized systems at strong disorder
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 …
systems in the regime of strong disorder and weak interactions. Our method reproduces …
Quantum information scrambling in quantum many-body scarred systems
Quantum many-body scarred systems host special nonthermal eigenstates that support
periodic revival dynamics and weakly break the ergodicity. Here, we study the quantum …
periodic revival dynamics and weakly break the ergodicity. Here, we study the quantum …
Logarithmic entanglement growth from disorder-free localization in the two-leg compass ladder
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 …
Ising models. We map these systems onto a model of free fermions coupled to strictly …
Absence of localization in two-dimensional Clifford circuits
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 …
By using random graphs and methods from percolation theory, we prove in the two …