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 …
Many-body localization in the age of classical computing
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …
many-body systems using only a few macroscopic parameters to determine the state of the …
Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
The thermalization of isolated quantum many-body systems is deeply related to fundamental
questions of quantum information theory. While integrable or many-body localized systems …
questions of quantum information theory. While integrable or many-body localized systems …
Ergodicity breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …
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 …
Thermalization and prethermalization in isolated quantum systems: a theoretical overview
The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …
among the most fundamental problems in statistical physics. Recent theoretical studies have …
Observation of many-body scarring in a Bose-Hubbard quantum simulator
The ongoing quest for understanding nonequilibrium dynamics of complex quantum
systems underpins the foundation of statistical physics as well as the development of …
systems underpins the foundation of statistical physics as well as the development of …
Localization from Hilbert space shattering: From theory to physical realizations
We show how a finite number of conservation laws can globally “shatter” Hilbert space into
exponentially many dynamically disconnected subsectors, leading to an unexpected …
exponentially many dynamically disconnected subsectors, leading to an unexpected …