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 …

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 …

Weak ergodicity breaking from quantum many-body scars

CJ Turner, AA Michailidis, DA Abanin, M Serbyn… - Nature Physics, 2018 - nature.com
The thermodynamic description of many-particle systems rests on the assumption of
ergodicity, the ability of a system to explore all allowed configurations in the phase space …

Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations

CJ Turner, AA Michailidis, DA Abanin, M Serbyn… - Physical Review B, 2018 - APS
Recent realization of a kinetically constrained chain of Rydberg atoms by Bernien,[Nature
(London) 551, 579 (2017) NATUAS 0028-0836 10.1038/nature24622] resulted in the …

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 …

Fracton topological order, generalized lattice gauge theory, and duality

S Vijay, J Haah, L Fu - Physical Review B, 2016 - APS
We introduce a generalization of conventional lattice gauge theory to describe fracton
topological phases, which are characterized by immobile, pointlike topological excitations …

From Bloch oscillations to many-body localization in clean interacting systems

E van Nieuwenburg, Y Baum… - Proceedings of the …, 2019 - National Acad Sciences
In this work we demonstrate that nonrandom mechanisms that lead to single-particle
localization may also lead to many-body localization, even in the absence of disorder. In …

Thermalization and its absence within Krylov subspaces of a constrained Hamiltonian

S Moudgalya, A Prem, R Nandkishore… - Memorial Volume for …, 2022 - World Scientific
We study the quantum dynamics of a simple translation invariant, center-of-mass (CoM)
preserving model of interacting fermions in one dimension (1D), which arises in multiple …

Localization in fractonic random circuits

S Pai, M Pretko, RM Nandkishore - Physical Review X, 2019 - APS
We study the spreading of initially local operators under unitary time evolution in a one-
dimensional random quantum circuit model that is constrained to conserve a U (1) charge …