Random quantum circuits

MPA Fisher, V Khemani, A Nahum… - Annual Review of …, 2023 - annualreviews.org
Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …

Quantum many-body scars and Hilbert space fragmentation: a review of exact results

S Moudgalya, BA Bernevig… - Reports on Progress in …, 2022 - iopscience.iop.org
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 …

Fracton phases of matter

M Pretko, X Chen, Y You - International Journal of Modern Physics …, 2020 - World Scientific
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 …

Ergodicity breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians

P Sala, T Rakovszky, R Verresen, M Knap, F Pollmann - Physical Review X, 2020 - APS
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 …

Hilbert space fragmentation and commutant algebras

S Moudgalya, OI Motrunich - Physical Review X, 2022 - APS
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 …

Unitary-projective entanglement dynamics

A Chan, RM Nandkishore, M Pretko, G Smith - Physical Review B, 2019 - APS
Starting from a state of low quantum entanglement, local unitary time evolution increases the
entanglement of a quantum many-body system. In contrast, local projective measurements …

Quantum information scrambling on a superconducting qutrit processor

MS Blok, VV Ramasesh, T Schuster, K O'Brien… - Physical Review X, 2021 - APS
The dynamics of quantum information in strongly interacting systems, known as quantum
information scrambling, has recently become a common thread in our understanding of …

Exploring the regime of fragmentation in strongly tilted Fermi-Hubbard chains

T Kohlert, S Scherg, P Sala, F Pollmann… - Physical Review Letters, 2023 - APS
Intriguingly, quantum many-body systems may defy thermalization even without disorder.
One example is so-called fragmented models, where the many-body Hilbert space …

Localization from Hilbert space shattering: From theory to physical realizations

V Khemani, M Hermele, R Nandkishore - Physical Review B, 2020 - APS
We show how a finite number of conservation laws can globally “shatter” Hilbert space into
exponentially many dynamically disconnected subsectors, leading to an unexpected …

Fracton hydrodynamics

A Gromov, A Lucas, RM Nandkishore - Physical Review Research, 2020 - APS
We introduce new classes of hydrodynamic theories inspired by the recently discovered
fracton phases of quantum matter. Fracton phases are characterized by elementary …