Nonequilibrium Spin Noise and Noise of Susceptibility

TL;DR

This paper investigates out-of-equilibrium spin fluctuations and their relation to susceptibility noise, revealing that susceptibility noise directly measures non-Gaussian fluctuations and develops a framework for its calculation.

Contribution

It introduces a novel method to compute the noise of susceptibility using Majorana representation and connects it to non-Gaussian fluctuations in driven spin systems.

Findings

Susceptibility noise is a direct measure of non-Gaussian fluctuations.

Developed a general framework for calculating susceptibility noise.

Applied the method to non-interacting spins coupled to a dissipative bath.

Abstract

We analyze out-of-equilibrium fluctuations in a driven spin system and relate them to the noise of spin susceptibility. In the spirit of the linear response theory we further relate the noise of susceptibility to a $4$-spin correlation function in equilibrium. We show that, in contrast to the second noise (noise of noise), the noise of susceptibility is a direct measure of non-Gaussian fluctuations in the system. We develop a general framework for calculating the noise of susceptibility using the Majorana representation of spin-1/2 operators. We illustrate our approach by a simple example of non-interacting spins coupled to a dissipative (Ohmic) bath.