2007/09/04 by Robin Steinigeweg, Heinz-Peter Breuer, Heinz‐Peter Breuer +1 · 1 citation
Mathematics · Physics and Astronomy · #Ballistic conduction #Ballistic limit #Classical mechanics #Excitation #Length scale #Limit (mathematics) #Master equation #Materials science #Mathematical analysis #Mathematics #Operator (biology) #Physics #Projection (relational algebra) #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Range (aeronautics) #Scale (ratio) #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.99.150601
published as Phys. Rev. Lett. 99 (15), 150601 (2007) · 4 pages, 5 figures, approved for publication in Physical Review Letters
arxiv created 2007/09/04 · openalex publication_date 2007/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.