Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems

Abstract

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

References in corpus (3)

• Fourier's Law confirmed for a class of small quantum systems
• Fourier's Law in a Quantum Spin Chain and the Onset of Quantum Chaos
• Limited validity of the Kubo formula for thermal conduction in modular quantum systems

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