We develop a geometric approach to operator growth and Krylov complexity in many-body
quantum systems governed by symmetries. We start by showing a direct link between a …

A bstract We argue that the late time behavior of horizon fluctuations in large anti-de Sitter
(AdS) black holes is governed by the random matrix dynamics characteristic of quantum …

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 …

A bstract The construction of exactly-solvable models has recently been advanced by
considering integrable\(T\overline {T}\) deformations and related Hamiltonian deformations …

A bstract Recent progress in AdS/CFT has provided a good understanding of how the bulk
spacetime is encoded in the entanglement structure of the boundary CFT. However, little is …

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 …

A bstract A number of recent works have argued that quantum complexity, a well-known
concept in computer science that has re-emerged recently in the context of the physics of …

A bstract Relativistic quantum systems that admit scattering experiments are quantitatively
described by effective field theories, where S-matrix kinematics and symmetry …

A bstract We study the spectral properties of two classes of random matrix models: non-
Gaussian RMT with quartic and sextic potentials, and RMT with Gaussian noise. We …

The complex Fourier transform of the two-point correlator of the energy spectrum of a
quantum system is known as the spectral form factor (SFF). It constitutes an essential …