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Probing localization in absorbing systems via Loschmidt echos.

Joshua D Bodyfelt1, Mei C Zheng, Tsampikos Kottos

  • 1Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA.

Physical Review Letters
|August 8, 2009
PubMed
Summary
This summary is machine-generated.

We measured Anderson localization in waveguides by analyzing echo dynamics. The inverse participation number of localized modes controls echo decay, deviating from standard predictions for diffusive systems.

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Area of Science:

  • Condensed Matter Physics
  • Wave Phenomena in Disordered Systems

Background:

  • Anderson localization describes the suppression of wave propagation in disordered media.
  • Absorption effects on Anderson localization and echo dynamics are not fully understood.
  • The Loschmidt echo is sensitive to system dynamics and perturbations.

Purpose of the Study:

  • To investigate Anderson localization in quasi-one-dimensional waveguides with absorption.
  • To analyze the relationship between echo dynamics and localization properties.
  • To validate theoretical predictions with experimental measurements.

Main Methods:

  • Measurement of Anderson localization using echo dynamics in quasi-one-dimensional waveguides.
  • Analysis of Loschmidt echo decay influenced by small perturbations.
  • Application of random matrix modeling for theoretical interpretation.
  • Experimental validation using a quasi-one-dimensional microwave cavity with scatterers.

Main Results:

  • The inverse participation number of localized modes directly dictates the Loschmidt echo decay rate.
  • Observed echo decay deviates from the Gaussian decay characteristic of diffusive or chaotic systems.
  • Theoretical predictions based on random matrix theory show excellent agreement with experimental data.

Conclusions:

  • Anderson localization in disordered waveguides with absorption is characterized by non-Gaussian echo decay.
  • The inverse participation number serves as a key metric for understanding localization effects on system dynamics.
  • Random matrix theory provides a robust framework for describing wave localization phenomena in complex systems.