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 …

The ergodic side of the many‐body localization transition

DJ Luitz, YB Lev - Annalen der Physik, 2017 - Wiley Online Library
Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

Quantum chaos challenges many-body localization

J Šuntajs, J Bonča, T Prosen, L Vidmar - Physical Review E, 2020 - APS
Characterizing states of matter through the lens of their ergodic properties is a fascinating
new direction of research. In the quantum realm, the many-body localization (MBL) was …

Can we study the many-body localisation transition?

RK Panda, A Scardicchio, M Schulz… - Europhysics …, 2020 - iopscience.iop.org
We present a detailed analysis of the length-and timescales needed to approach the critical
region of MBL from the delocalised phase, studying both eigenstates and the time evolution …

Many-body localization in a disordered quantum Ising chain

JA Kjäll, JH Bardarson, F Pollmann - Physical review letters, 2014 - APS
Many-body localization occurs in isolated quantum systems when Anderson localization
persists in the presence of finite interactions. Despite strong evidence for the existence of a …

Ergodicity breaking transition in finite disordered spin chains

J Šuntajs, J Bonča, T Prosen, L Vidmar - Physical Review B, 2020 - APS
We study disorder-induced ergodicity breaking transition in high-energy eigenstates of
interacting spin-1/2 chains. Using exact diagonalization, we introduce a cost function …

Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice

Y Bar Lev, G Cohen, DR Reichman - Physical review letters, 2015 - APS
We study the infinite temperature dynamics of a prototypical one-dimensional system
expected to exhibit many-body localization. Using numerically exact methods, we establish …

Hilbert-glass transition: New universality of temperature-tuned many-body dynamical quantum criticality

D Pekker, G Refael, E Altman, E Demler, V Oganesyan - Physical review x, 2014 - APS
We study a new class of unconventional critical phenomena that is characterized by
singularities only in dynamical quantities and has no thermodynamic signatures. One …

Dynamics of many-body localization

Y Bar Lev, DR Reichman - Physical Review B, 2014 - APS
Following the field theoretic approach of Basko et al.[Ann. Phys. 321, 1126 (2006) APNYA6
0003-4916 10.1016/j. aop. 2005.11. 014], we study in detail the real-time dynamics of a …

Strongly disordered Anderson insulator chains with generic two-body interaction

B Krajewski, L Vidmar, J Bonča, M Mierzejewski - Physical Review B, 2023 - APS
The random-field spin-1/2 XXZ chains, and the corresponding Anderson insulators of
spinless fermions with density-density interaction, have been intensively studied in the …