This is a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-
body systems without quasiparticle excitations, and its connections to various theoretical …

We present exact results for partition functions of Jackiw-Teitelboim (JT) gravity on two-
dimensional surfaces of arbitrary genus with an arbitrary number of boundaries. The …

In the last decade, there has been an increasing interest in the analysis of energy level
spectra and wave functions of nuclei, particles, atoms and other quantum many-body …

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

A bstract We introduce a framework for quantifying random matrix behavior of 2d CFTs and
AdS 3 quantum gravity. We present a 2d CFT trace formula, precisely analogous to the …

We study the transition between integrable and chaotic behavior in dissipative open
quantum systems, exemplified by a boundary driven quantum spin chain. The repulsion …

Quantum chaos of many-body (MB) systems has been swiftly developing into a vibrant
research area at the interface between various disciplines, ranging from statistical physics to …

Sandro Wimberger An Introduction Second Edition Page 1 Nonlinear Dynamics and
Quantum Chaos Sandro Wimberger An Introduction Second Edition Graduate Texts in …

We present an extensive numerical study of spectral statistics and eigenfunctions of
quantized triangular billiards. We compute two million consecutive eigenvalues for six …