Berlin 2014 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 71: Quantum information: Concepts and methods VI
Q 71.2: Talk
Friday, March 21, 2014, 16:45–17:00, Kinosaal
Propagation of Quantum Walks in Electric Fields — Christopher Cedzich1, Tomas Rybar1, •Albert H. Werner2, Andrea Alberti3, Maximilian Genske3, and Reinhard F. Werner1 — 1Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstrasse 2, 30167 Hannover, Germany — 2Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany — 3Institut für Angewandte Physik, Universität Bonn, Wegelerstrasse 8, 53115 Bonn, Germany
We study one-dimensional quantum walks in a homogenous electric field. The field is given by a phase which depends linearly on position and is applied after each step. The long time propagation properties of this system, such as revivals, ballistic expansion, and Anderson localization, depend very sensitively on the value of the electric field, Φ, e.g., on whether Φ/(2π) is rational or irrational. We relate these properties to the continued fraction expansion of the field. When the field is given only with finite accuracy, the beginning of the expansion allows analogous conclusions about the behavior on finite time scales.