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 many-body scar states with emergent kinetic constraints and finite-entanglement revivals
T Iadecola, M Schecter - Physical Review B, 2020 - APS
We construct a set of exact, highly excited eigenstates for a nonintegrable spin-1/2 model in
one dimension that is relevant to experiments on Rydberg atoms in the antiblockade regime …
one dimension that is relevant to experiments on Rydberg atoms in the antiblockade regime …
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 …
Thermalization and its absence within Krylov subspaces of a constrained Hamiltonian
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 …
preserving model of interacting fermions in one dimension (1D), which arises in multiple …
Collapse and revival of quantum many-body scars via Floquet engineering
The presence of quantum scars, athermal eigenstates of a many-body Hamiltonian with
finite-energy density, leads to an absence of ergodicity and long-time coherent dynamics …
finite-energy density, leads to an absence of ergodicity and long-time coherent dynamics …
Many-body scars as a group invariant sector of Hilbert space
K Pakrouski, PN Pallegar, FK Popov, IR Klebanov - Physical review letters, 2020 - APS
We present a class of Hamiltonians H for which a sector of the Hilbert space invariant under
a Lie group G, which is not a symmetry of H, possesses the essential properties of many …
a Lie group G, which is not a symmetry of H, possesses the essential properties of many …
Prominent quantum many-body scars in a truncated Schwinger model
The high level of control and precision achievable in current synthetic quantum matter
setups has enabled first attempts at quantum-simulating various intriguing phenomena in …
setups has enabled first attempts at quantum-simulating various intriguing phenomena in …
Disorder-free localization and many-body quantum scars from magnetic frustration
The concept of geometrical frustration has led to rich insights into condensed matter physics,
especially as a mechanism to produce exotic low-energy states of matter. Here we show that …
especially as a mechanism to produce exotic low-energy states of matter. Here we show that …