Volume 75, Number 3, August 2006
|Page(s)||406 - 412|
|Published online||21 June 2006|
Normal-transport behavior in finite one-dimensional chaotic quantum systems
Physics Department, University of Osnabrück - Barbarastrasse 7 49069 Osnabrück, Germany
2 Institute of Theoretical Physics I, University of Stuttgart - Pfaffenwaldring 57 70550 Stuttgart, Germany
Corresponding author: firstname.lastname@example.org
Accepted: 1 June 2006
We investigate the transport of energy, magnetization, etc. in several finite one-dimensional (1D) quantum systems only by solving the corresponding time-dependent Schrödinger equation. We explicitly renounce any other transport analysis technique. Varying model parameters we find a sharp transition from non-normal to normal transport and a transition from integrability to chaos, i.e., from Poissonian to Wigner-like level statistics. These transitions always appear in conjunction with each other. We investigate some rather abstract “design models” and a (locally perturbed) Heisenberg spin chain.
PACS: 05.30.-d – Quantum statistical mechanics / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.45.Mt – Quantum chaos; semiclassical methods
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.