Hannover 2013 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 16: Photonics II

Q 16.7: Talk

Monday, March 18, 2013, 18:00–18:15, A 310

Kicked Rotor Dynamics in Optical Fibers — •Felix Ziegler, Marius Blaesing, and Sandro Wimberger — Institut für Theoretische Physik, Philosophenweg 19, 69120 Heidelberg

A new perspective of the well-known quantum kicked rotor model is offered by recent experiments investigating the dynamics of optical signals in fibers with nonlinearities. We consider the properties of a kicked particle wave function in position space in order to explain experimental data. The wave function is calculated by a modulation integral over the quasimomentum, which results from Bloch’s theorem. For small kicking parameters the wave function shows a continuous dependence on the kicking strength. This can be explained by a tunnelling process of a particle in the ground band in a periodic potential. For higher values of the kicking strength the dynamics of the wave function exhibit a more interesting behaviour. The survival probability of the wave packet to stay in the central zone of the periodic potential shows either localisation or delocalisation depending on the kicking strength. This is in good qualitative accordance with the experiment. To explain this phenomenon, we use the fact that the kicking period corresponds to the effective ℏ. Semi-classical and quantum mechanical properties of the system are analysed with respect to tunnelling processes and classical phase space structures.