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 …
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
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 …
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
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 …
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
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 …
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
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 …
integrable models that do not obey the eigenstate thermalization hypothesis. Recent works …
Quasisymmetry groups and many-body scar dynamics
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 …
may have higher symmetries than those of the Hamiltonian itself. When this enhanced …
Quantum many-body scar states in two-dimensional Rydberg atom arrays
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 …
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 …
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 …
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 …
point of the available phase space after a long time, filling it uniformly. Using Born's rules to …