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 …

Postselection-free entanglement dynamics via spacetime duality

M Ippoliti, V Khemani - Physical Review Letters, 2021 - APS
The dynamics of entanglement in “hybrid” nonunitary circuits (for example, involving both
unitary gates and quantum measurements) has recently become an object of intense study …

Measurement-induced criticality in -dimensional hybrid quantum circuits

X Turkeshi, R Fazio, M Dalmonte - Physical Review B, 2020 - APS
We investigate the dynamics of two-dimensional quantum spin systems under the combined
effect of random unitary gates and local projective measurements. When considering steady …

Fractal, logarithmic, and volume-law entangled nonthermal steady states via spacetime duality

M Ippoliti, T Rakovszky, V Khemani - Physical Review X, 2022 - APS
The extension of many-body quantum dynamics to the nonunitary domain has led to a series
of exciting developments, including new out-of-equilibrium entanglement phases and phase …

Spacetime duality between localization transitions and measurement-induced transitions

TC Lu, T Grover - PRX Quantum, 2021 - APS
Time evolution of quantum many-body systems typically leads to a state with maximal
entanglement allowed by symmetries. Two distinct routes to impede entanglement growth …

Ergodic and nonergodic dual-unitary quantum circuits with arbitrary local Hilbert space dimension

PW Claeys, A Lamacraft - Physical Review Letters, 2021 - APS
Dual-unitary quantum circuits can be used to construct 1+ 1 dimensional lattice models for
which dynamical correlations of local observables can be explicitly calculated. We show …

Influence matrix approach to many-body Floquet dynamics

A Lerose, M Sonner, DA Abanin - Physical Review X, 2021 - APS
Recent experimental and theoretical works have made much progress toward
understanding nonequilibrium phenomena in thermalizing systems, which act as thermal …

Quasiparticle dynamics of symmetry-resolved entanglement after a quench: Examples of conformal field theories and free fermions

G Parez, R Bonsignori, P Calabrese - Physical Review B, 2021 - APS
The time evolution of the entanglement entropy is a key concept to understand the structure
of a nonequilibrium quantum state. In a large class of models, such evolution can be …

Dynamical purification and the emergence of quantum state designs from the projected ensemble

M Ippoliti, WW Ho - PRX Quantum, 2023 - APS
Quantum thermalization in a many-body system is defined by the approach of local
subsystems toward a universal form, describable as an ensemble of quantum states wherein …

Entanglement membrane in chaotic many-body systems

T Zhou, A Nahum - Physical Review X, 2020 - APS
In certain analytically tractable quantum chaotic systems, the calculation of out-of-time-order
correlation functions, entanglement entropies after a quench, and other related dynamical …