Quantum diffusion and localization of wavepackets in disordered media

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Abstract
Diffusive and localization properties of wavepackets are numerically investigated in quasi-one-dimensional disordered media described by a tight-binding Hamiltonian with long- range random interactions. Scaling properties of the packet size and of the fluctuations of the steady-state distribution reveal interesting analogies and differences with the kicked rotator and one-dimensional localization.