Abstract The Sachdev–Ye–Kitaev model and two-dimensional dilaton gravity have recently
been attracting increasing attention of the high-energy and condensed-matter physics …

This tutorial article introduces the physics of quantum information scrambling in quantum
many-body systems. The goals are to understand how to precisely quantify the spreading of …

Quantum Chaos has originally emerged as the field which studies how the properties of
classical chaotic systems arise in their quantum counterparts. The growing interest in …

A bstract Chaos and complexity entail an entropic and computational obstruction to
describing a system, and thus are intrinsically difficult to characterize. In this paper, we …

Quantum black holes are described by a large number of macroscopically indistinguishable
microstates. Correlation functions of fields outside the horizon at long time separation probe …

The entanglement in operator space is a well established measure for the complexity of the
quantum many-body dynamics. In particular, that of local operators has recently been …

Out-of-time-order correlation (OTOC) functions provide a powerful theoretical tool for
diagnosing chaos and the scrambling of information in strongly interacting, quantum …

We study the scrambling of quantum information in local random unitary circuits by focusing
on the tripartite information proposed by Hosur et al. We provide exact results for the …

We show that it is possible to uniquely reconstruct a generic many-body local Hamiltonian
from a single pair of generic initial and final states related by evolving with the Hamiltonian …

A bstract We consider the Brownian SYK model of N interacting Majorana fermions, with
random couplings that are taken to vary independently at each time. We study the out-of …