By Bernd Terhalle

Discrete periodic constructions play a huge function in physics, and feature spread out a thrilling new region of research lately. Questions in relation to the keep an eye on of sunshine in such buildings nonetheless signify a massive problem. it truly is this hugely energetic box that's adressed within the current thesis. utilizing the version approach of a photorefractive nonlinearity that permits one to at the same time create and keep an eye on photonic lattices by way of mild, the writer obtains a complete photo of the keep watch over of nonlinear and quantum optics phenomena in photonic lattices. He describes and demonstrates experimentally for the 1st time resonant transitions in two-dimensional hexagonal lattices, together with Rabi oscillations and Landau-Zener tunneling, in addition to the direct regulate and exploitation of those transitions. a specific spotlight of this thesis is the research of soliton-cluster switching and keep an eye on of Zener tunneling.

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Extra resources for Controlling Light in Optically Induced Photonic Lattices

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J. Nonlinear Opt. Phys. Mater. 16, 1 (2007) 18. : Matter-wave gap solitons in atomic band-gap structures. Phys. Rev. Lett. 90, 160407 (2003) 19. : Diffraction management. Phys. Rev. Lett. 85, 1863 (2000) 20. : Discrete spatial optical solitons in waveguide arrays. Phys. Rev. Lett. 81, 3383 (1998) 21. : Spatial photonics in nonlinear waveguide arrays. Opt. Express 13, 1780 (2005) 22. : Discrete diffraction managed spatial solitons. Phys. Rev. Lett. 87, 254102 (2001) 23. : Self-localization in arrays of defocusing waveguides.

3 Experimental setup for the observation of Rabi oscillations in optically induced hexagonal lattices. 13), this implies that by changing the lattice intensity I0 or the applied electric field E0 and analyzing the output in Fourier space, we can directly measure the Rabi frequency in experiment. The setup employed for this measurement and all following measurements on Rabi oscillations in hexagonal lattices is shown schematically in Fig. 3. To create the lattice beam, we use the same configuration of Mach-Zehnder type interferometers as in Fig.

P and the energy gets locked in two beams only. 28) to the experimental situation, we choose xL ¼ 0:67 as derived from our previous experiments on two-level Rabi oscillations with single-beam excitation (Fig. 5). The corresponding solution is plotted in Fig. 10 and shows that, apart from locking the energy in c1 and c2 at d ¼ p; varying the relative phase allows to switch between any combination of two output beams together with a vanishing third beam (green circles in Fig. 10). 28) with xL ¼ 0:67 shows one dominating Fourier peak.

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