Many-body localization in the age of classical computing

P Sierant, M Lewenstein, A Scardicchio… - Reports on Progress …, 2025 - iopscience.iop.org
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

Finite-temperature transport in one-dimensional quantum lattice models

B Bertini, F Heidrich-Meisner, C Karrasch, T Prosen… - Reviews of Modern …, 2021 - APS
Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

Krylov complexity from integrability to chaos

E Rabinovici, A Sánchez-Garrido, R Shir… - Journal of High Energy …, 2022 - Springer
A bstract We apply a notion of quantum complexity, called “Krylov complexity”, to study the
evolution of systems from integrability to chaos. For this purpose we investigate the …

Eigenstate thermalization in a locally perturbed integrable system

M Brenes, T LeBlond, J Goold, M Rigol - Physical review letters, 2020 - APS
Eigenstate thermalization is widely accepted as the mechanism behind thermalization in
generic isolated quantum systems. Using the example of a single magnetic defect …

How a small quantum bath can thermalize long localized chains

DJ Luitz, F Huveneers, W De Roeck - Physical review letters, 2017 - APS
We investigate the stability of the many-body localized phase for a system in contact with a
single ergodic grain modeling a Griffiths region with low disorder. Our numerical analysis …

Eigenstate thermalization hypothesis beyond standard indicators: Emergence of random-matrix behavior at small frequencies

J Richter, A Dymarsky, R Steinigeweg, J Gemmer - Physical Review E, 2020 - APS
Using numerical exact diagonalization, we study matrix elements of a local spin operator in
the eigenbasis of two different nonintegrable quantum spin chains. Our emphasis is on the …

Eigenstate thermalization and quantum chaos in the Holstein polaron model

D Jansen, J Stolpp, L Vidmar, F Heidrich-Meisner - Physical Review B, 2019 - APS
The eigenstate thermalization hypothesis (ETH) is a successful theory that provides
sufficient criteria for ergodicity in quantum many-body systems. Most studies were carried …

Krylov complexity for nonlocal spin chains

A Bhattacharya, PP Nath, H Sahu - Physical Review D, 2024 - APS
Building upon recent research in spin systems with nonlocal interactions, this study
investigates operator growth using the Krylov complexity in different nonlocal versions of the …

Real-time and real-space spin and energy dynamics in one-dimensional spin- systems induced by local quantum quenches at finite temperatures

C Karrasch, JE Moore, F Heidrich-Meisner - Physical Review B, 2014 - APS
We study the spin and energy dynamics in one-dimensional spin-1 2 systems induced by
local quantum quenches at finite temperatures using a time-dependent density matrix …

Low-frequency behavior of off-diagonal matrix elements in the integrable XXZ chain and in a locally perturbed quantum-chaotic XXZ chain

M Brenes, J Goold, M Rigol - Physical Review B, 2020 - APS
We study the matrix elements of local operators in the eigenstates of the integrable XXZ
chain and of the quantum-chaotic model obtained by locally perturbing the XXZ chain with a …