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We describe how the effect of charge noise on a pair of spins coupled via theexchange interaction can be calculated by modelling charge fluctuations as arandom telegraph noise process using probability density functions. We developanalytic expressions for the time dependent superoperator of a pair of spins asa function of fluctuation amplitude and rate. We show that the theory can beextended to include multiple fluctuators, in particular, spectral distributionsof fluctuators. These superoperators can be included in time dependent analysesof the state of spin systems designed for spintronics or quantum informationprocessing to determine the decohering effects of exchange fluctuations.

Modelling the effect of charge noise on the exchange interaction between spins