Quantifying Volume Changing Perturbations to a Wave Chaotic System

ORAL

Abstract

The Loschmidt Echo and Fidelity decay are used to measure perturbations on a quantum wave chaotic system. We extended these concepts to classical waves to detect perturbations. [1]. In this work, we show that volume changing perturbations to a classical wave chaotic cavity can be quantified with a sub-wavelength sensitivity. This is demonstrated both numerically and experimentally. A wave chaotic quasi-1D star graph model [2], was initially used to show the results. The quantification of electrical-volume changing perturbations to a one cubic meter aluminum box will be demonstrated experimentally; the experimental results are also supported by a finite difference time domain simulation of the box. Finally, the approach to quantify these perturbations will be shown to apply to a generic wave chaotic system by using a time domain version of our Random Coupling Model.

*Work funded by ONR MURI grant N000140710734, AFOSR grant FA95501010106, and the Maryland CNAM.

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Authors

  • Biniyam Taddese

    • Department of Electrical \& Computer Engineering, University of Maryland, College Park, MD 20742-3285, USA

  • Gabriele Gradoni

    • Department of Physics, University of Maryland, College Park, MD 20742-4111, USA

  • Franco Moglie

    • Dip. di Ingegneria dell'Informazione, Universit\`a Politecnica delle Marche, Ancona, Italy

  • Thomas Antonsen

    • Department of Physics, University of Maryland, College Park, MD 20742-4111, USA

  • Edward Ott

    • Department of Physics, University of Maryland, College Park, MD 20742-4111, USA

  • Steven Anlage

    • Department of Physics, University of Maryland, College Park, MD 20742-4111, USA