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28 March 2024
 
  » arxiv » nlin.CD/0010038

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Quantum correlations and classical resonances in an open chaotic system
Wentao T. Lu ; Kristi Pance ; Prabhakar Pradhan ; S. Sridhar ;
Date 23 Oct 2000
Journal Physica Scripta T90, 238-245 (2001)
Subject Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall quant-ph
AbstractWe show that the autocorrelation of quantum spectra of an open chaotic system is well described by the classical Ruelle-Pollicott resonances of the associated chaotic strange repeller. This correspondence is demonstrated utilizing microwave experiments on 2-D n-disk billiard geometries, by determination of the wave-vector autocorrelation C(kappa) from the experimental quantum spectra S_{21}(k). The correspondence is also established via "numerical experiments" that simulate S_{21}(k) and C(kappa) using periodic orbit calculations of the quantum and classical resonances. Semiclassical arguments that relate quantum and classical correlation functions in terms of fluctuations of the density of states and correlations of particle density are also examined and support the experimental results. The results establish a correspondence between quantum spectral correlations and classical decay modes in an open systems.
Source arXiv, nlin.CD/0010038
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