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 …

Scrambling dynamics and out-of-time-ordered correlators in quantum many-body systems

S Xu, B Swingle - PRX quantum, 2024 - APS
This tutorial article introduces the physics of quantum information scrambling in quantum
many-body systems. The goals are to understand how to precisely quantify the spreading of …

Fractonic Luttinger liquids and supersolids in a constrained Bose-Hubbard model

P Zechmann, E Altman, M Knap, J Feldmeier - Physical Review B, 2023 - APS
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 …

Unifying emergent hydrodynamics and lindbladian low-energy spectra across symmetries, constraints, and long-range interactions

O Ogunnaike, J Feldmeier, JY Lee - Physical Review Letters, 2023 - APS
We identify emergent hydrodynamics governing charge transport in Brownian random time
evolution with various symmetries, constraints, and ranges of interactions. This is …

Hierarchical hydrodynamics in long-range multipole-conserving systems

J Gliozzi, J May-Mann, TL Hughes, G De Tomasi - Physical Review B, 2023 - APS
This work investigates the out-of-equilibrium dynamics of dipole and higher-moment-
conserving systems with long-range interactions, drawing inspiration from trapped ion …

Exact solution for the filling-induced thermalization transition in a one-dimensional fracton system

C Pozderac, S Speck, X Feng, DA Huse, B Skinner - Physical Review B, 2023 - APS
We study a random circuit model of constrained fracton dynamics, in which particles on a
one-dimensional lattice undergo random local motion subject to both charge and dipole …

Measurement-induced phase transition in a chaotic classical many-body system

J Willsher, SW Liu, R Moessner, J Knolle - Physical Review B, 2022 - APS
Local measurements in quantum systems are projective operations which act to counteract
the spread of quantum entanglement. Recent work has shown that local, random …

Out-of-time-ordered crystals and fragmentation

B Buča - Physical Review Letters, 2022 - APS
Is a spontaneous perpetual reversal of the arrow of time possible? The out-of-time-ordered
correlator (OTOC) is a standard measure of irreversibility, quantum scrambling, and the …

Many-body non-hermitian skin effect for multipoles

J Gliozzi, G De Tomasi, TL Hughes - Physical Review Letters, 2024 - APS
In this Letter, we investigate the fate of the non-Hermitian skin effect in one-dimensional
systems that conserve the dipole moment and higher moments of an associated global U (1) …