Hannover 2010 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 11: Quantum Information: Concepts and Methods II

Q 11.9: Vortrag

Montag, 8. März 2010, 18:30–18:45, E 214

Anderson Localization in Disordered Quantum Walks — •Volkher Scholz, Albert Werner, and Andre Ahlbrecht — Institut für Theoretische Physik, Leibniz Universität Hannover

We study a Spin-1/2-particle moving in a one dimensional lattice subjected to disorder induced by a random space dependent coin. The discrete time evolution is given by a family of random unitary quantum walk operators, where the shift operation is assumed to be non-random. Each coin is an independent identically distributed random variable with values in the group of two dimensional unitary matrices. We find that if the probability distribution of the coins is absolutely continuous with respect to the Haar measure, then the system exhibits localization. That is, every initially localized particle remains on average and up to exponential corrections in a finite region of space for all times.