In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

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 …

Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

We explore the dynamical phases of unitary Clifford circuits with variable-range interactions,
coupled to a monitoring environment. We investigate two classes of models, distinguished …

We investigate entanglement dynamics in continuously monitored open quantum systems
featuring current-carrying nonequilibrium states. We focus on a prototypical one …

Universal quantum computing requires nonstabilizer (magic) quantum states. Quantifying
the nonstabilizerness and relating it to other quantum resources is vital for characterizing the …

Recent experimental observation of weak ergodicity breaking in Rydberg atom quantum
simulators has sparked interest in quantum many-body scars—eigenstates which evade …

Understanding the nature of entanglement growth in many-body systems is one of the
fundamental questions in quantum physics. Here, we study this problem by characterizing …

The breaking of the continuous time-translation symmetry manifests, in Markovian open
quantum systems, through the emergence of nonstationary dynamical phases. Systems that …