Probing Localization in Absorbing Systems via Loschmidt Echos

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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cross-reference with nonlin.CD-Chaotic Dynamics

Scientific paper

10.1103/PhysRevLett.102.253901

We measure Anderson localization in quasi-one-dimensional waveguides in the presence of absorption by analyzing the echo dynamics due to small perturbations. We specifically show 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 one-dimensional microwave cavity filled with randomly distributed scatterers.

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