Energy-resolved spin correlation measurements: Decoding transverse spin dynamics in weakly interacting Fermi gases

TL;DR

This paper investigates the microscopic transverse spin dynamics in weakly interacting Fermi gases by measuring energy-resolved spin correlations, revealing how correlations evolve in energy space and connecting this to macroscopic magnetization behavior.

Contribution

It introduces energy-resolved spin correlation measurements as a novel approach to decode transverse spin dynamics and system features in weakly interacting Fermi gases.

Findings

Observation of correlation flow in energy space.

Connection between magnetization evolution and correlation localization.

Energy-space correlations as a new observable in quantum phase transitions.

Abstract

We study transverse spin dynamics on a microscopic level by measuring energy-resolved spin correlations in weakly interacting Fermi gases (WIFGs). The trapped cloud behaves as a many-body spin-lattice in energy space with effective long-range interactions, simulating a collective Heisenberg model. We observe the flow of correlations in energy space in this quasi-continuous system, revealing the connection between the evolution of the magnetization and the localization or spread of correlations. This work highlights energy-space correlation as a new observable in quantum phase transition studies of WIFGs, decoding system features that are hidden in macroscopic measurements.