Normal-transport behavior in finite one-dimensional chaotic quantum systemsR. Steinigeweg1, J. Gemmer1 and M. Michel2
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
received 3 March 2006; accepted in final form 1 June 2006
published online 21 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.
05.30.-d - Quantum statistical mechanics.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
05.45.Mt - Quantum chaos; semiclassical methods.
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