Scattering Approach to Anderson Localization

Diagrammatic approach to Anderson localization in the quantum kicked rotator.

The phenomenon of Anderson localization in the quantum kicked rotator is analyzed by means of concepts which were originally introduced in condensed matter physics. A diagrammatic language similar to the impurity diagram technique employed in the theory of disordered conductors is developed. The method is applied to a calculation of the quantum return probability and leads to results which coin...

Coherent forward scattering peak induced by Anderson localization.

Numerical simulations show that, at the onset of Anderson localization, the momentum distribution of a coherent wave packet launched inside a random potential exhibits, in the forward direction, a novel interference peak that complements the coherent backscattering peak. An explanation of this phenomenon in terms of maximally crossed diagrams predicts that the signal emerges around the localiza...

Anderson localization of classical waves in weakly scattering metamaterials

Ara A. Asatryan,1 Sergey A. Gredeskul,2,3 Lindsay C. Botten,1 Michael A. Byrne,1 Valentin D. Freilikher,4 Ilya V. Shadrivov,3 Ross C. McPhedran,5 and Yuri S. Kivshar3 1Department of Mathematical Sciences and Centre for Ultrahigh-Bandwidth Devices for Optical Systems (CUDOS), University of Technology, Sydney, New South Wales 2007, Australia 2Department of Physics, Ben Gurion University of the Ne...

Anderson Localization

From the start of their studies students in condensed matter physics are exposed to ordered systems. These systems can be very simple and give insight into the physics of many materials. However it seems that much of what is learned in ordered systems cannot be brought to disordered systems. Instead new conceptual understandings much be reached will very different consquences. One of these is t...

Universalities: from Anderson Localization to Quantum Chaos