• From chaos to disorder: Statistics of the eigenfunctions of microwave cavities

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/058/02/0333-0341

    • Keywords

       

      Quantum chaos; localization; mesoscopic physics; random matrix theory

    • Abstract

       

      We study the statistics of the experimental eigenfunctions of chaotic and disordered microwave billiards in terms of the moments of their spatial distributions, such as the inverse participation ratio (IPR) and density-density auto-correlation. A path from chaos to disorder is described in terms of increasing IPR. In the chaotic, ballistic limit, the data correspond well with universal results from random matrix theory. Deviations from universal distributions are observed due to disorder induced localization, and for the weakly disordered case the data are well-described by including finite conductance and mean free path contributions in the framework of nonlinear sigma models of supersymmetry.

    • Author Affiliations

       

      Prabhakar Pradhan1 2 S Sridhar1

      1. Department of Physics, Northeastern University, Boston, Massachusetts - 02115, USA
      2. Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA - 02139, USA
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.