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Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems

Robin Steinigeweg·Jochen Gemmer·Mathias Michel
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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.

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Robin Steinigeweg, Jochen Gemmer, Mathias Michel. 2006-06-03. Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems. https://doi.org/10.1209/epl%2Fi2006-10118-5

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