  We theoretically study decoherence of two localized spins interacting via the
RKKY interaction in one-, two-, and three-dimensional electron gas. We derive
the kinetic equation for the reduced density matrix of the localized spins and
show that energy relaxation caused by singlet-triplet transition is suppressed
when the RKKY interaction is ferromagnetic. We also estimate the decoherence
time of the system consisting of two quantum dots embedded in a two dimensional
electron gas.
