Transition from diffusive to ballistic dynamics for a class of finite quantum models

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 5 figures, approved for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.99.150601

The transport of excitation probabilities amongst weakly coupled subunits is investigated for a class of finite quantum systems. It is demonstrated that the dynamical behavior of the transported quantity depends on the considered length scale, e. g., the introduced distinction between diffusive and ballistic transport appears to be a scale-dependent concept, especially since a transition from diffusive to ballistic behavior is found in the limit of small as well as in the limit of large length scales. All these results are derived by an application of the time-convolutionless projection operator technique and are verified by the numerical solution of the full time-dependent Schroedinger equation which is obtained by exact diagonalization for a range of model parameters.

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