Quantum Fingerprints of Classical Ruelle-Pollicott Resonances

Kristi Pance, Wentao Lu, and S. Sridhar
Phys. Rev. Lett. 85, 2737 – Published 25 September 2000
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Abstract

Quantum and classical correlations are studied experimentally in model n-disk microwave billiards. The wave vector κ autocorrelation C(κ) of the quantum spectrum displays nonuniversal oscillations for large κ, comparable to the universal random matrix theory behavior observed for small κ. 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

Authors & Affiliations

Kristi Pance, Wentao Lu, and S. Sridhar*

  • Department of Physics, Northeastern University, Boston, Massachusetts 02115

  • *Electronic address: srinivas@neu.edu.

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Vol. 85, Iss. 13 — 25 September 2000

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