Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems

Steinigeweg, Robin; Gemmer, Jochen; Michel, Mathias

Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems

Authors

Steinigeweg, Robin

Gemmer, Jochen

Michel, Mathias

Description

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.
7 pages, 6 figures