Transport and dynamics on open quantum graphs
Condensed Matter
2009-11-07 v1 Chaotic Dynamics
Quantum Physics
Abstract
We study the classical limit of quantum mechanics on graphs by introducing a Wigner function for graphs. The classical dynamics is compared to the quantum dynamics obtained from the propagator. In particular we consider extended open graphs whose classical dynamics generate a diffusion process. The transport properties of the classical system are revealed in the scattering resonances and in the time evolution of the quantum system.
Cite
@article{arxiv.cond-mat/0107285,
title = {Transport and dynamics on open quantum graphs},
author = {Felipe Barra and Pierre Gaspard},
journal= {arXiv preprint arXiv:cond-mat/0107285},
year = {2009}
}
Comments
42 pages, 13 figures, submitted to PRE