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- W2078496746 abstract "Using the first $N=668$ measured eigenfrequencies of a two-dimensional (2D) microwave cavity, we test experimentally the properties of a quantity $W(x)$ proposed by Aurich, Bolte, and Steiner [Phys. Rev. Lett. 73, 1356 (1994)] as a statistical measure for quantum chaos in spectra. Our data confirm that the distribution of $W(x)$ for the spectrum of the classically irregular cavity has a statistically significant Gaussian form. We also calculate spectra of classically regular 2D cavities (rectangular and square) up to comparable values of $N$ and calculate their $W(x)$ distributions. Finding that their distributions, too, are close to Gaussian form, we conclude that one should not expect to be able to use the distribution of $W(x)$ as an effective experimental tool for deciding whether a given finite quantum spectrum corresponds to a classically irregular (chaotic) or regular (integrable) system." @default.
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- W2078496746 date "1996-07-01" @default.
- W2078496746 modified "2023-09-24" @default.
- W2078496746 title "Practical tests with irregular and regular finite spectra of a proposed statistical measure for quantum chaos" @default.
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- W2078496746 doi "https://doi.org/10.1103/physreve.54.r21" @default.
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