Energy-Resolved Information Scrambling in Energy-Space Lattices

TL;DR

This paper investigates how information spreads and coherence behaves in energy-space lattices modeled by weakly interacting Fermi gases, using energy-resolved measurements of spin dynamics.

Contribution

It introduces a method to determine the collective spin vector as a function of energy and demonstrates energy-resolved protocols for studying information scrambling.

Findings

Measured energy dependence of many-body coherence.

Demonstrated energy-resolved out-of-time-order correlation functions.

Abstract

Weakly interacting Fermi gases simulate spin-lattices in energy-space, offering a rich platform for investigating information spreading and spin coherence in a large many-body quantum system. We show that the collective spin vector can be determined as a function of energy from the measured spin density, enabling general energy-space resolved protocols. We measure an out-of-time-order correlation function in this system and observe the energy dependence of the many-body coherence.