# Stimulated spin noise in an activated crystal

## TL;DR

This paper introduces a novel stimulated spin noise spectroscopy method using an external fluctuating magnetic field, revealing unique magnetic susceptibility features and differences from spontaneous spin noise in a b2Fb2:Ub3+ crystal.

## Contribution

The study presents a new stimulated spin noise spectroscopy technique and demonstrates its ability to distinguish magnetic susceptibility contributions and magnetic-field-dependent relaxation behaviors.

## Key findings

- Identified Van-Vleck and population-related contributions to AC susceptibility.
- Discovered unusual magnetic-field dependence of spin relaxation rates.
- Showed differences between stimulated and spontaneous spin noise spectra.

## Abstract

In the spin noise spectroscopy, the magnetic susceptibility spectrum is known to be provided by the spin-system untouched by any external perturbation, or, better to say, disturbed only by its thermal bath. We propose a new version of the spin noise spectroscopy, with the detected magnetization (Faraday-rotation) noise being stimulated by an external fluctuating magnetic field with a quasi-white spectrum. Experimental study of the stimulated spin noise performed on a $\text{BaF}_2 : \text{U}^{3+}$ crystal in a longitudinal magnetic field has revealed specific features of this approach and allowed us to identify the Van-Vleck and population-related contributions to the AC susceptibility of the system and to discover unusual magnetic-field dependence of the longitudinal spin relaxation rate in low magnetic fields. It is shown that spectra of the stimulated and spontaneous spin noise, being both closely related to the spin-system magnetic susceptibility, are still essentially different. Distinctions between the two types of the spin-noise spectra and two approaches to the spin noise spectroscopy are discussed.