The n-level spectral correlations for chaotic systems

T Nagao, S Muller

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)

Abstract

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 correlation functions as sums over pseudo-orbits. Using an extended version of the diagonal approximation on the pseudo-orbit sums, we derive the n-level correlation functions identical to the n × n determinantal correlation functions of the CUE.
Translated title of the contributionThe n-level spectral correlations for chaotic systems
Original languageEnglish
Article number375102
Number of pages13
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number37
DOIs
Publication statusPublished - 18 Sep 2009

Bibliographical note

Publisher: IOP

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