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

Autor(en): Steinigeweg, Robin 
Breuer, Heinz-Peter
Gemmer, Jochen 
Stichwörter: CHAIN; FOURIERS LAW; Physics; Physics, Multidisciplinary; SYSTEMS; TRANSPORT PHENOMENA
Erscheinungsdatum: 2007
Herausgeber: AMER PHYSICAL SOC
Journal: PHYSICAL REVIEW LETTERS
Volumen: 99
Ausgabe: 15
Zusammenfassung: 
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 Schrodinger equation which is obtained by exact diagonalization for a range of model parameters.
ISSN: 00319007
DOI: 10.1103/PhysRevLett.99.150601

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