January 1, 1990

Scaling behavior of localization in quantum chaos

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Abstract

The kicked rotator on a torus is a system with a bounded phase space in which a chaotic diffusion occurs for a large enough perturbation strength. The quantum version of this model exhibits localization effects which produce deviations from random-matrix-theory predictions. We show that these localization effects display a scaling behavior which is a counterpart of the scaling theory of one-dimensional Anderson localization in finite samples. We suggest that this behavior can be highly relevant to some general problems of quantum chaos.

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Cite This Study

Casati et al. (Mon,) studied this question.

synapsesocial.com/papers/6a15ae0f5347fbb173a021e5 https://doi.org/https://doi.org/10.1103/physrevlett.64.5

Discussion

Journals

Physical Review Letters

Institutions

University of Milan

University of Pavia

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