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This paper identifies and investigates nature of the transition betweenGaussian and exponential forms of decoherence. We show that the decoherencefactor (that controls the time dependence of the suppression of theoff-diagonal terms when the density matrix is expressed in the pointer basisrepresentation) can be described by the convolution of Gaussian and exponentialfunctions, their contributions modulated by the strength of thesystem-environment interaction. In the strong and weak coupling limits,decoherence reduces to the familiar Gaussian and exponential forms,respectively. The mechanism is demonstrated with two paradigmatic examples ofdecoherence -- a spin-bath model and the quantum Brownian motion.

Decoherence factor as a convolution: an interplay between a Gaussian and an exponential coherence loss