Full perturbative calculation of spectral correlation functions for chaotic systems in the unitary symmetry class

Sebastian Muller, Marcel Novaes

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

1 Citation (Scopus)
194 Downloads (Pure)

Abstract

Starting from a semiclassical approach recently developed for spectral correlation functions of quantum systems whose classical dynamics is chaotic, we focus on the case of broken time-reversal symmetry, the so-called unitary class. We obtain to all orders in perturbation theory the nonoscillatory parts of all correlation functions, showing that the off-diagonal contributions to these correlation functions cancel and the conjectured universality holds. The innovation that allows this calculation to be performed is the introduction of an auxiliary matrix model which is governed by the same diagrammatic rules as the semiclassical approach and which can be exactly solved.
Original languageEnglish
Article number052208
Number of pages6
JournalPhysical Review E
Volume98
Issue number5
Early online date8 Nov 2018
DOIs
Publication statusPublished - Nov 2018

Fingerprint

Dive into the research topics of 'Full perturbative calculation of spectral correlation functions for chaotic systems in the unitary symmetry class'. Together they form a unique fingerprint.

Cite this