Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems

Details Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems

2006-06-03

arxiv.org/abs/cond-mat/0606083v1

Europhys. Lett. 75 (3), 406 (2006)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 6 figures

Scientific paper

10.1209/epl/i2006-10118-5

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.

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