• Experiments on quantum chaos using microwave cavities: Results for the pseudo-integrable L-billiard

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      https://www.ias.ac.in/article/fulltext/pram/048/02/0459-0467

    • Keywords

       

      Quantum chaos; billiards; eigenvalues; eigenfunctions; random matrix theory; pseudo-integrable

    • Abstract

       

      We describe microwave experiments used to study billiard geometries as model problems of non-integrability in quantum or wave mechanics. The experiments can study arbitrary 2-D geometries, including chaotic and even disordered billiards. Detailed results on an L-shaped pseudo-integrable billiard are discussed as an example. The eigenvalue statistics are well-described by empirical formulae incorporating the fraction of phase space that is non-integrable. The eigenfunctions are directly measured, and their statistical properties are shown to be influenced by non-isolated periodic orbits, similar to that for the chaotic Sinai billiard. These periodic orbits are directly observed in the Fourier transform of the eigenvalue spectrum.

    • Author Affiliations

       

      A Kudrolli1 S Sridhar1

      1. Physics Department, Northeastern University, 360 Huntington Avenue, Boston, MA - 02115, USA
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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