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 …

Abstract The Sachdev–Ye–Kitaev (SYK) model is a strongly coupled, quantum many-body
system that is chaotic, nearly conformally invariant, and exactly solvable. This remarkable …

Focusing on semiclassical systems, we show that the parametrically long exponential
growth of out-of-time order correlators (OTOCs), also known as scrambling, does not …

The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as
a quantum signature of classical chaos. The growth rate is expected to coincide with the …

A major open question in studies of nonequilibrium quantum dynamics is the identification of
the time scales involved in the relaxation process of isolated quantum systems that have …

The relaxation of few-body quantum systems can strongly depend on the initial state when
the system's semiclassical phase space is mixed; ie, regions of chaotic motion coexist with …

We study quantum information scrambling in spin models with both long-range all-to-all and
short-range interactions. We argue that a simple global, spatially homogeneous interaction …

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-
body quantum systems. We primarily focus on closed quantum systems but will also mention …

The quantum dynamics of spin systems with uniform all-to-all interaction are often studied in
the totally symmetric space (TSS) of maximal total spin. However, the TSS states are atypical …

The sparse version of the Sachdev-Ye-Kitaev (SYK) model reproduces essential features of
the original SYK model while reducing the number of disorder parameters. In this Research …