Then-level spectral correlations for chaotic systems
نویسندگان
چکیده
منابع مشابه
The n-level spectral correlations for chaotic systems
We study the n-level spectral correlation functions of classically chaotic quantum systems without time-reversal symmetry. According to Bohigas, Giannoni and Schmit’s universality conjecture, it is expected that the correlation functions are in agreement with the prediction of the Circular Unitary Ensemble (CUE) of random matrices. A semiclassical resummation formalism allows us to express the ...
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New aspects of spectral fluctuations of (quantum) chaotic and diffusive systems are considered, namely autocorrelations of the spacing between consecutive levels or spacing autocovariances. They can be viewed as a discretized two point correlation function. Their behavior results from two different contributions. One corresponds to (universal) random matrix eigenvalue fluctuations, the other to...
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The n-level spectral correlation functions for chaotic quantum systems are calculated by using a recently proposed scheme called the extended diagonal approximation (EDA). The EDA is a natural extension of the diagonal approximation, which was invented by Berry in order to semiclassically evaluate the 2-level correlation function. When the time reversal invariance of the chaotic systems is brok...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2009
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/42/37/375102