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 …

Fracton phases of matter

M Pretko, X Chen, Y You - International Journal of Modern Physics …, 2020 - World Scientific
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …

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 …

Exploring the regime of fragmentation in strongly tilted Fermi-Hubbard chains

T Kohlert, S Scherg, P Sala, F Pollmann… - Physical Review Letters, 2023 - APS
Intriguingly, quantum many-body systems may defy thermalization even without disorder.
One example is so-called fragmented models, where the many-body Hilbert space …

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 …

Fractons

RM Nandkishore, M Hermele - Annual Review of Condensed …, 2019 - annualreviews.org
Fracton phases constitute a new class of quantum state of matter. They are characterized by
excitations that exhibit restricted mobility, being either immobile under local Hamiltonian …

Thirty milliseconds in the life of a supercooled liquid

C Scalliet, B Guiselin, L Berthier - Physical Review X, 2022 - APS
We combine the swap Monte Carlo algorithm to long multi-CPU molecular dynamics
simulations to analyze the equilibrium relaxation dynamics of model supercooled liquids …

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 …

Theoretical perspective on the glass transition and amorphous materials

L Berthier, G Biroli - Reviews of modern physics, 2011 - APS
A theoretical perspective is provided on the glass transition in molecular liquids at thermal
equilibrium, on the spatially heterogeneous and aging dynamics of disordered materials …

Perspective: Supercooled liquids and glasses

MD Ediger, P Harrowell - The Journal of chemical physics, 2012 - pubs.aip.org
Supercooled liquids and glasses are important for current and develo** technologies.
Here we provide perspective on recent progress in this field. The interpretation of …