  The optical spin noise spectroscopy (SNS) is a minimally invasive route
towards 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 (3rd and 4th) 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 effects of many-body interactions.
