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 …

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 …

Many-body Hilbert space scarring on a superconducting processor

P Zhang, H Dong, Y Gao, L Zhao, J Hao, JY Desaules… - Nature Physics, 2023 - nature.com
Quantum many-body scarring (QMBS) is a recently discovered form of weak ergodicity
breaking in strongly interacting quantum systems, which presents opportunities for mitigating …

Anomalous diffusion in dipole-and higher-moment-conserving systems

J Feldmeier, P Sala, G De Tomasi, F Pollmann… - Physical Review Letters, 2020 - APS
The presence of global conserved quantities in interacting systems generically leads to
diffusive transport at late times. Here, we show that systems conserving the dipole moment …

Quantum scars from zero modes in an abelian lattice gauge theory on ladders

D Banerjee, A Sen - Physical Review Letters, 2021 - APS
We consider the spectrum of a U (1) quantum link model where gauge fields are realized as
S= 1/2 spins and demonstrate a new mechanism for generating quantum many-body scars …

Fractonic Luttinger liquids and supersolids in a constrained Bose-Hubbard model

P Zechmann, E Altman, M Knap, J Feldmeier - Physical Review B, 2023 - APS
Quantum many-body systems with fracton constraints are widely conjectured to exhibit
unconventional low-energy phases of matter. In this paper, we demonstrate the existence of …

Quantum many-body scars in optical lattices

H Zhao, J Vovrosh, F Mintert, J Knolle - Physical review letters, 2020 - APS
The concept of quantum many-body scars has recently been put forward as a route to
describe weak ergodicity breaking and violation of the eigenstate thermalization hypothesis …