Abstract
Quantum and classical correlations are studied experimentally in model -disk microwave billiards. The wave vector autocorrelation of the quantum spectrum displays nonuniversal oscillations for large , comparable to the universal random matrix theory behavior observed for small . The nonuniversal behavior is shown to be completely determined by the classical Ruelle-Pollicott resonances, arising from the complex eigenvalues of the Perron-Frobenius operator, and calculated using periodic orbit theory. This work establishes a fundamental connection between the quantum and classical correlations of an open system.
- Received 10 March 2000
DOI:https://doi.org/10.1103/PhysRevLett.85.2737
©2000 American Physical Society