Higher-order spin noise statistics

The optical spin noise spectroscopy (SNS) is a minimally invasive route toward obtaining dynamical information about electrons and atomic gases by measuring mesoscopic time-dependent spin fluctuations. Recent improvements of the sensitivity of SNS should make it possible to observe higher-order spin correlators at thermodynamic equilibrium. We develop theoretical methods to explore higher-order (third and fourth) cumulants of the spin noise in the frequency domain. We make predictions for the possible functional form of these correlators in single quantum dot experiments and then apply the method of the stochastic path integral to estimate the effects of many-body interactions.