Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 54: Focus Session: Chaos and Correlation in Quantum Matter (joint session DY/TT)
TT 54.8: Vortrag
Mittwoch, 14. März 2018, 12:00–12:15, EB 107
What is the right theory of transverse Anderson localization of light? — •Walter Schirmacher1,3,4, Behnam Abaie2, Arash Mafi2, Giancarlo Ruocco3,4, and Marco Leonetti3,4 — 1Universität Mainz — 2Univ. New Mexico, USA — 3Istituto Italiano di Technologia, Roma, Italy — 4Universit`a La Sapienza, Roma, Italy
Anderson localization of light is traditionally described in analogy to electrons in a random potential. Within this description, the random potential depends on the wavelength of the incident light. For transverse Anderson localization this leads to the prediction that the distribution of localization lengths -- and hence its average -- strongly depends on the wavelength. In an alternative description, in terms of a spatially fluctuating electric modulus, this is not the case. Here, we report on an experimentum crucis in order to investigate the validity of the two conflicting theories using optical samples exhibiting transverse Anderson localization. We do not find any dependence of the observed average localization radii on the light wavelength. We conclude that the modulus-type description is the correct one and not the potential-type one. We corroborate this by showing that in the derivation of the traditional, potential-type theory a term in the wave equation has been tacitly neglected. In our new modulus-type theory the wave equation is exact. We check the consistency of the new theory with our data using the nonlinear sigma model. We comment on the consequences for the general case of three-dimensional disorder.