Probing localization in absorbing systems via Loschmidt echos.
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.
Bodyfelt
Joshua D
JD
Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA.
Zheng
Mei C
MC
Kottos
Tsampikos
T
Kuhl
Ulrich
U
Stöckmann
Hans-Jürgen
HJ