Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems
Statistical Mechanics
2007-05-23 v1
Abstract
We investigate the transport of energy, magnetization, etc. in several finite one-dimensional (1D) quantum systems only by solving the corresponding time-dependent Schroedinger equation. We explicitly renounce on 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.
Cite
@article{arxiv.cond-mat/0606083,
title = {Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems},
author = {Robin Steinigeweg and Jochen Gemmer and Mathias Michel},
journal= {arXiv preprint arXiv:cond-mat/0606083},
year = {2007}
}
Comments
7 pages, 6 figures