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 …
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 …
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 …
Anomalous diffusion in dipole-and higher-moment-conserving systems
The presence of global conserved quantities in interacting systems generically leads to
diffusive transport at late times. Here, we show that systems conserving the dipole moment …
diffusive transport at late times. Here, we show that systems conserving the dipole moment …
Quantum scars from zero modes in an abelian lattice gauge theory on ladders
We consider the spectrum of a U (1) quantum link model where gauge fields are realized as
S= 1/2 spins and demonstrate a new mechanism for generating quantum many-body scars …
S= 1/2 spins and demonstrate a new mechanism for generating quantum many-body scars …
Fractonic Luttinger liquids and supersolids in a constrained Bose-Hubbard model
Quantum many-body systems with fracton constraints are widely conjectured to exhibit
unconventional low-energy phases of matter. In this paper, we demonstrate the existence of …
unconventional low-energy phases of matter. In this paper, we demonstrate the existence of …
Quantum many-body scars in optical lattices
The concept of quantum many-body scars has recently been put forward as a route to
describe weak ergodicity breaking and violation of the eigenstate thermalization hypothesis …
describe weak ergodicity breaking and violation of the eigenstate thermalization hypothesis …