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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 …
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 …
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 …
Exploring the regime of fragmentation in strongly tilted Fermi-Hubbard chains
Intriguingly, quantum many-body systems may defy thermalization even without disorder.
One example is so-called fragmented models, where the many-body Hilbert space …
One example is so-called fragmented models, where the many-body Hilbert space …
Thirty milliseconds in the life of a supercooled liquid
We combine the swap Monte Carlo algorithm to long multi-CPU molecular dynamics
simulations to analyze the equilibrium relaxation dynamics of model supercooled liquids …
simulations to analyze the equilibrium relaxation dynamics of model supercooled liquids …
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 …
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 …
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 …
Theoretical perspective on the glass transition and amorphous materials
A theoretical perspective is provided on the glass transition in molecular liquids at thermal
equilibrium, on the spatially heterogeneous and aging dynamics of disordered materials …
equilibrium, on the spatially heterogeneous and aging dynamics of disordered materials …