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 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 …

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 …

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 …

Collapse and revival of quantum many-body scars via Floquet engineering

B Mukherjee, S Nandy, A Sen, D Sen, K Sengupta - Physical Review B, 2020 - APS
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 …

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 …

Prominent quantum many-body scars in a truncated Schwinger model

JY Desaules, A Hudomal, D Banerjee, A Sen, Z Papić… - Physical Review B, 2023 - APS
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 …

Disorder-free localization and many-body quantum scars from magnetic frustration

PA McClarty, M Haque, A Sen, J Richter - Physical Review B, 2020 - APS
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 …