We demonstrate analytically and verify numerically that the out-of-time order correlator is
given by the thermal average of Loschmidt echo signals. This provides a direct link between …

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 harmonic oscillator is the paragon of physical models; conceptually and computationally
simple, yet rich enough to teach us about physics on scales that span classical mechanics to …

In recent years, the out-of-time-order correlator (OTOC) has emerged as a diagnostic tool for
information scrambling in quantum many-body systems. Here, we present exact analytical …

We consider the spectral statistics of the Floquet operator for disordered, periodically driven
spin chains in their quantum chaotic and many-body localized (MBL) phases. The spectral …

We study the connections between three quantities that can be used as diagnostics for
quantum chaos, ie, the out-of-time-order correlator (OTOC), Loschmidt echo (LE), and …

A bstract We study the scrambling properties of (d+ 1)-dimensional hyperbolic black holes.
Using the eikonal approximation, we calculate out-of-time-order correlators (OTOCs) for a …

A bstract We study three prominent diagnostics of chaos and scrambling in the context of two-
dimensional conformal field theory: the spectral form factor, out-of-time-ordered correlators …

We suggest a new indicator of quantum chaos based on the logarithmic out-of-time-order
correlator. On the one hand, this indicator correctly reproduces the average classical …

We establish the correspondence between the classical and quantum butterfly effects in
nonlinear vector mechanics with the broken O (N) symmetry. On one hand, we analytically …