Level-to-level fluctuations of the inverse participation ratio in finite quasi 1D disordered systems.
作者： Yan V. Fyodorov , Alexander D. Mirlin
DOI: 10.1103/PHYSREVLETT.71.412
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摘要: We study analytically statistics of a quantity known as an inverse participation ratio P which is inversely proportional to spatial extent localized eigenfunctions. The fluctuations are found be crucially dependent on the between system size and mean localization length. As particular model, we use ensemble random banded matrices equivalent way describe wires with large number transverse modes. Our results in agreement available numerical data for periodically driven Hamiltonian systems quantum chaos regime
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