Random quantum circuits
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 …
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 …
unitary gates and quantum measurements) has recently become an object of intense study …
Measurement-induced criticality in -dimensional hybrid quantum circuits
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 …
effect of random unitary gates and local projective measurements. When considering steady …
Fractal, logarithmic, and volume-law entangled nonthermal steady states via spacetime duality
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 …
of exciting developments, including new out-of-equilibrium entanglement phases and phase …
Spacetime duality between localization transitions and measurement-induced transitions
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 …
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 …
which dynamical correlations of local observables can be explicitly calculated. We show …
Influence matrix approach to many-body Floquet dynamics
Recent experimental and theoretical works have made much progress toward
understanding nonequilibrium phenomena in thermalizing systems, which act as thermal …
understanding nonequilibrium phenomena in thermalizing systems, which act as thermal …
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 …
subsystems toward a universal form, describable as an ensemble of quantum states wherein …
Quasiparticle dynamics of symmetry-resolved entanglement after a quench: Examples of conformal field theories and free fermions
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 …
of a nonequilibrium quantum state. In a large class of models, such evolution can be …
Entanglement membrane in chaotic many-body systems
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 …
correlation functions, entanglement entropies after a quench, and other related dynamical …