| Issue |
Europhys. Lett.
Volume 75, Number 3, August 2006
|
|
|---|---|---|
| Page(s) | 406 - 412 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2006-10118-5 | |
| Published online | 21 June 2006 | |
Normal-transport behavior in finite one-dimensional chaotic quantum systems
1
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: rsteinig@uos.de
Received:
3
March
2006
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
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