Quantum many-body scars and Hilbert space fragmentation: a review of exact results
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 …
Quantum many-body scars: A quasiparticle perspective
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 …
phases of quantum matter. At higher energies, however, quasiparticles cease to be well …
Hilbert space fragmentation and commutant algebras
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 …
Floquet quantum systems using the language of commutant algebras, the algebra of all …
Many-body Hilbert space scarring on a superconducting processor
Quantum many-body scarring (QMBS) is a recently discovered form of weak ergodicity
breaking in strongly interacting quantum systems, which presents opportunities for mitigating …
breaking in strongly interacting quantum systems, which presents opportunities for mitigating …
From tunnels to towers: Quantum scars from Lie algebras and -deformed Lie algebras
We present a general symmetry-based framework for obtaining many-body Hamiltonians
with scarred eigenstates that do not obey the eigenstate thermalization hypothesis. Our …
with scarred eigenstates that do not obey the eigenstate thermalization hypothesis. Our …
Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
B Buča - Physical Review X, 2023 - APS
Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator
algebraic theory of dynamics in locally interacting systems in any dimension is provided …
algebraic theory of dynamics in locally interacting systems in any dimension is provided …
Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control
Quantum many-body scars are an intriguing dynamical regime in which quantum systems
exhibit coherent dynamics and long-range correlations when prepared in certain initial …
exhibit coherent dynamics and long-range correlations when prepared in certain initial …
Proposal for realizing quantum scars in the tilted 1D Fermi-Hubbard model
Motivated by recent observations of ergodicity breaking due to Hilbert space fragmentation
in 1D Fermi-Hubbard chains with a tilted potential [Scherg et al., arxiv: 2010.12965], we …
in 1D Fermi-Hubbard chains with a tilted potential [Scherg et al., arxiv: 2010.12965], we …
Exhaustive characterization of quantum many-body scars using commutant algebras
We study quantum many-body scars (QMBS) in the language of commutant algebras, which
are defined as symmetry algebras of families of local Hamiltonians. This framework explains …
are defined as symmetry algebras of families of local Hamiltonians. This framework explains …