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 …

-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 …

Quantum kicked rotor and its variants: Chaos, localization and beyond

MS Santhanam, S Paul, JB Kannan - Physics Reports, 2022 - Elsevier
Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

Unified structure for exact towers of scar states in the Affleck-Kennedy-Lieb-Tasaki and other models

DK Mark, CJ Lin, OI Motrunich - Physical Review B, 2020 - APS
Quantum many-body scar states are many-body states with finite energy density in non-
integrable models that do not obey the eigenstate thermalization hypothesis. Recent works …

Quasisymmetry groups and many-body scar dynamics

J Ren, C Liang, C Fang - Physical Review Letters, 2021 - APS
In quantum systems, a subspace spanned by degenerate eigenvectors of the Hamiltonian
may have higher symmetries than those of the Hamiltonian itself. When this enhanced …

Quantum many-body scar states in two-dimensional Rydberg atom arrays

CJ Lin, V Calvera, TH Hsieh - Physical Review B, 2020 - APS
We find exponentially many exact quantum many-body scar states in a two-dimensional
PXP model—an effective model for a two-dimensional Rydberg atom array in the nearest …

Weak ergodicity breaking through the lens of quantum entanglement

Z Papić - Entanglement in Spin Chains: From Theory to Quantum …, 2022 - Springer
Recent studies of interacting systems of quantum spins, ultracold atoms, and correlated
fermions have shed a new light on how isolated many-body systems can avoid rapid …

Classical simulation of short-time quantum dynamics

DS Wild, ÁM Alhambra - PRX Quantum, 2023 - APS
Recent progress in the development of quantum technologies has enabled the direct
investigation of the dynamics of increasingly complex quantum many-body systems. This …

Ubiquitous quantum scarring does not prevent ergodicity

S Pilatowsky-Cameo, D Villaseñor… - Nature …, 2021 - nature.com
In a classically chaotic system that is ergodic, any trajectory will be arbitrarily close to any
point of the available phase space after a long time, filling it uniformly. Using Born's rules to …