A bstract We construct a model of Pauli spin operators with all-to-all 4-local interactions by
replacing Majorana fermions in the SYK model with spin operators. Equivalently, we replace …

We analyze a model of qubits that we argue has an emergent quantum gravitational
description similar to the fermionic Sachdev-Ye-Kitaev (SYK) model. The model we consider …

The spectral form factor (SFF) can probe the eigenvalue statistic at different energy scales as
its time variable varies. In closed quantum chaotic systems, the SFF exhibits a universal dip …

The Rosenzweig-Porter model is a single-parameter random matrix ensemble that supports
an ergodic, fractal, and localized phase. The names of these phases refer to the properties …

Spectral statistics such as the level spacing statistics and spectral form factor (SFF) are
widely expected to accurately identify “ergodicity,” including the presence of underlying …

The spectral form factor (SFF) plays a crucial role in revealing the statistical properties of
energy-level distributions in complex systems. It is one of the tools to diagnose quantum …

We study the spectral form factor (SFF) for hydrodynamic systems with a sound pole, a large
class including any fluid with momentum conservation and energy conservation, or any …

The emergence of random matrix spectral correlations in interacting quantum systems is a
defining feature of quantum chaos. We study such correlations in terms of the spectral form …

The notion of scale-invariant dynamics is well established at late times in quantum chaotic
systems, as illustrated by the emergence of a ramp in the spectral form factor (SFF). Building …

The spectral form factor (SFF) is an important diagnostic of energy level repulsion in random
matrix theory (RMT) and quantum chaos. The short-time behavior of the SFF as it …