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Phys. Rev. Lett. 102, 253901 (2009) [4 pages]

Probing Localization in Absorbing Systems via Loschmidt Echos

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Joshua D. Bodyfelt1, Mei C. Zheng1,2, Tsampikos Kottos1,2, Ulrich Kuhl3, and Hans-Jürgen Stöckmann3
1Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA
2MPI for Dynamics and Self-Organization—Bunsenstraße 10, D-37073 Göttingen, Germany
3Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany

Received 28 January 2009; published 23 June 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.253901
DOI:
10.1103/PhysRevLett.102.253901
PACS:
42.25.Dd, 03.65.Nk, 03.65.Yz, 72.15.Rn