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 …

[HTML][HTML] Many-body localization: An introduction and selected topics

F Alet, N Laflorencie - Comptes Rendus Physique, 2018 - Elsevier
What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

Challenges to observation of many-body localization

P Sierant, J Zakrzewski - Physical Review B, 2022 - APS
We study time dynamics of 1D disordered Heisenberg spin-1/2 chains focusing on a regime
of large system sizes and a long-time evolution. This regime is relevant for observation of …

Nonequilibrium boundary-driven quantum systems: Models, methods, and properties

GT Landi, D Poletti, G Schaller - Reviews of Modern Physics, 2022 - APS
Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

Thouless time analysis of Anderson and many-body localization transitions

P Sierant, D Delande, J Zakrzewski - Physical Review Letters, 2020 - APS
Spectral statistics of disordered systems encode Thouless and Heisenberg timescales,
whose ratio determines whether the system is chaotic or localized. We show that the scaling …

Observation of many-body localization in a one-dimensional system with a single-particle mobility edge

T Kohlert, S Scherg, X Li, HP Lüschen, S Das Sarma… - Physical review …, 2019 - APS
We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-
dimensional quasiperiodic potential, which in the noninteracting limit exhibits an …

-pairing in Hubbard models: From spectrum generating algebras to quantum many-body scars

S Moudgalya, N Regnault, BA Bernevig - Physical Review B, 2020 - APS
We revisit the η-pairing states in Hubbard models and explore their connections to quantum
many-body scars to discover a universal scars mechanism. η-pairing occurs due to an …

Observation of slow dynamics near the many-body localization transition in one-dimensional quasiperiodic systems

HP Lüschen, P Bordia, S Scherg, F Alet, E Altman… - Physical review …, 2017 - APS
In the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-
body system can fail to thermalize and become many-body localized. The associated …

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 …

Polynomially filtered exact diagonalization approach to many-body localization

P Sierant, M Lewenstein, J Zakrzewski - Physical Review Letters, 2020 - APS
Polynomially filtered exact diagonalization method (POLFED) for large sparse matrices is
introduced. The algorithm finds an optimal basis of a subspace spanned by eigenvectors …