Probing anderson localization via fidelity

Joshua Bodyfelt

CQDMP Research Group, Wesleyan University, Department Physics, Middletown, USA

A probe of Anderson localization in quasi-1D waveguides is performed by analyzing the echo dynamics due to small perturbations. We find that the inverse participation number of localized modes dictates the decay of the Loschmidt echo, differing from the Gaussian decay expected for diffusive or chaotic systems. Our theory, based on a random matrix modeling, agrees perfectly with scattering echo measurements on a quasi-1D microwave cavity filled with randomly distributed scatterers.

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