Display options
Cite
Steinigeweg R, Breuer HP, Gemmer J. Transition from diffusive to ballistic dynamics for a class of finite quantum models. Phys Rev Lett. 2007;99(15):150601doi: 10.1103/PhysRevLett.99.150601.
Steinigeweg, R., Breuer, H. P., & Gemmer, J. (2007). Transition from diffusive to ballistic dynamics for a class of finite quantum models. Physical review letters, 99(15), 150601. https://doi.org/10.1103/PhysRevLett.99.150601
Steinigeweg, Robin, et al. "Transition from diffusive to ballistic dynamics for a class of finite quantum models." Physical review letters vol. 99,15 (2007): 150601. doi: https://doi.org/10.1103/PhysRevLett.99.150601
Steinigeweg R, Breuer HP, Gemmer J. Transition from diffusive to ballistic dynamics for a class of finite quantum models. Phys Rev Lett. 2007 Oct 12;99(15):150601. doi: 10.1103/PhysRevLett.99.150601. Epub 2007 Oct 09. PMID: 17995149.
Copy Download .nbib Format: NLM
Share it on

Phys Rev Lett. 2007 Oct 12;99(15):150601. doi: 10.1103/PhysRevLett.99.150601. Epub 2007 Oct 09.

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

Physical review letters

Robin Steinigeweg, Heinz-Peter Breuer, Jochen Gemmer

Affiliations

  1. Fachbereich Physik, Universität Osnabrück, Barbarastrasse 7, D-49069 Osnabrück, Germany. [email protected]

PMID: 17995149 DOI: 10.1103/PhysRevLett.99.150601

Abstract

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 Schrödinger equation which is obtained by exact diagonalization for a range of model parameters.

Publication Types