Abstract

We investigate the transport of energy, magnetization, etc. inseveral finite one-dimensional (1D) quantum systems only by solvingthe corresponding time-dependent Schrödinger equation. Weexplicitly renounce any other transport analysis technique.Varying model parameters we find a sharp transition from non-normalto 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. Weinvestigate some rather abstract “design models” and a (locallyperturbed) Heisenberg spin chain.

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