We investigate the critical behavior of the entanglement transition induced by projective
measurements in (Haar) random unitary quantum circuits. Using a replica approach, we …

We re-examine attempts to study the many-body localization transition using measures that
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …

The central philosophy of statistical mechanics (stat-mech) and random-matrix theory of
complex systems are that while individual instances are essentially intractable to simulate …

Monitored quantum circuits can exhibit an entanglement transition as a function of the rate of
measurements, stemming from the competition between scrambling unitary dynamics and …

The interplay between symmetries and entanglement in out-of-equilibrium quantum systems
is currently at the center of an intense multidisciplinary research effort. Here we introduce a …

Monitored quantum circuits (MRCs) exhibit a measurement-induced phase transition
between area-law and volume-law entanglement scaling. MRCs with a conserved charge …

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 …

We propose a measure, which we call the dissipative spectral form factor (DSFF), to
characterize the spectral statistics of non-Hermitian (and nonunitary) matrices. We show that …

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 …

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 …