Quantum many-body scars and Hilbert space fragmentation: a review of exact results

S Moudgalya, BA Bernevig… - Reports on Progress in …, 2022 - iopscience.iop.org
The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

Quantum many-body scars and weak breaking of ergodicity

M Serbyn, DA Abanin, Z Papić - Nature Physics, 2021 - nature.com
Thermalization is the inevitable fate of many complex quantum systems, whose dynamics
allow them to fully explore the vast configuration space regardless of the initial state—the …

Quantum many-body scars: A quasiparticle perspective

A Chandran, T Iadecola, V Khemani… - Annual Review of …, 2023 - annualreviews.org
Weakly interacting quasiparticles play a central role in the low-energy description of many
phases of quantum matter. At higher energies, however, quasiparticles cease to be well …

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 …

Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains

S Scherg, T Kohlert, P Sala, F Pollmann… - Nature …, 2021 - nature.com
The thermalization of isolated quantum many-body systems is deeply related to fundamental
questions of quantum information theory. While integrable or many-body localized systems …

Ergodicity breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians

P Sala, T Rakovszky, R Verresen, M Knap, F Pollmann - Physical Review X, 2020 - APS
We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …

Hilbert space fragmentation and commutant algebras

S Moudgalya, OI Motrunich - Physical Review X, 2022 - APS
We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and
Floquet quantum systems using the language of commutant algebras, the algebra of all …

Thermalization and prethermalization in isolated quantum systems: a theoretical overview

T Mori, TN Ikeda, E Kaminishi… - Journal of Physics B …, 2018 - iopscience.iop.org
The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

Observation of many-body scarring in a Bose-Hubbard quantum simulator

GX Su, H Sun, A Hudomal, JY Desaules, ZY Zhou… - Physical Review …, 2023 - APS
The ongoing quest for understanding nonequilibrium dynamics of complex quantum
systems underpins the foundation of statistical physics as well as the development of …

Localization from Hilbert space shattering: From theory to physical realizations

V Khemani, M Hermele, R Nandkishore - Physical Review B, 2020 - APS
We show how a finite number of conservation laws can globally “shatter” Hilbert space into
exponentially many dynamically disconnected subsectors, leading to an unexpected …