Anomalous Levy decoherence

We investigate the decoherence of a small quantum system weakly coupled to a complex, chaotic environment when the dynamics is not Gaussian but Levy anomalous. By studying the time dependence of the linear entropy and the damping of the interference of two Gaussian wave packets in the Wigner representation, we show that the decoherence time for a quantum Levy stable process is always smaller than for Gaussian diffusion.