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 …
Fracton phases of matter
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …
by forming bound states. Fractons are found in a variety of physical settings, such as spin …
Weak ergodicity breaking from quantum many-body scars
The thermodynamic description of many-particle systems rests on the assumption of
ergodicity, the ability of a system to explore all allowed configurations in the phase space …
ergodicity, the ability of a system to explore all allowed configurations in the phase space …
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 …
Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations
Recent realization of a kinetically constrained chain of Rydberg atoms by Bernien,[Nature
(London) 551, 579 (2017) NATUAS 0028-0836 10.1038/nature24622] resulted in the …
(London) 551, 579 (2017) NATUAS 0028-0836 10.1038/nature24622] resulted in the …
Fractons
Fracton phases constitute a new class of quantum state of matter. They are characterized by
excitations that exhibit restricted mobility, being either immobile under local Hamiltonian …
excitations that exhibit restricted mobility, being either immobile under local Hamiltonian …
Fracton topological order, generalized lattice gauge theory, and duality
We introduce a generalization of conventional lattice gauge theory to describe fracton
topological phases, which are characterized by immobile, pointlike topological excitations …
topological phases, which are characterized by immobile, pointlike topological excitations …
From Bloch oscillations to many-body localization in clean interacting systems
In this work we demonstrate that nonrandom mechanisms that lead to single-particle
localization may also lead to many-body localization, even in the absence of disorder. In …
localization may also lead to many-body localization, even in the absence of disorder. In …
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 …
Localization in fractonic random circuits
We study the spreading of initially local operators under unitary time evolution in a one-
dimensional random quantum circuit model that is constrained to conserve a U (1) charge …
dimensional random quantum circuit model that is constrained to conserve a U (1) charge …