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 …

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 provide a general protocol to measure out-of-time-order correlation functions. These
correlation functions are of broad theoretical interest for diagnosing the scrambling of …

It was proposed recently that the out-of-time-ordered four-point correlator (OTOC) may serve
as a useful characteristic of quantum-chaotic behavior, because, in the semiclassical limit …

Statistical mechanics is founded on the assumption that all accessible configurations of a
system are equally likely. This requires dynamics that explore all states over time, known as …

The distinction between level clustering and level repulsion is one of the quantum
analogues of the classical distinction between globally regular and predominantly chaotic …

The manner in which states of some quantum systems become effectively classical is of
great significance for the foundations of quantum physics, as well as for problems of …

The statistical properties of so-called quantum chaos are considered on the basis of the well-
known model of a kicked rotator. Attention is paid mainly to the quasienergy spectrum and …

We study scrambling in connection with multipartite entanglement dynamics in regular and
chaotic long-range spin chains, characterized by a well-defined semi-classical limit. For …

In this work we discuss the existence of time-translation symmetry breaking in a kicked
infinite-range-interacting clean spin system described by the Lipkin-Meshkov-Glick model …