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Q: Fachverband Quantenoptik und Photonik

Q 15: Poster 1: Quanteninformation, Quanteneffekte, Laserentwicklung, Laseranwendungen, Ultrakurze Pulse, Photonik

Q 15.84: Poster

Montag, 14. März 2011, 16:30–19:30, P1

Entanglement of motion with optimal control — •Thomas Stefan Häberle and Matthias Freyberger — Institut für Quantenphysik, Universität Ulm, 89069 Ulm

We discuss two compact particles in a harmonic trap which interact via pointlike collisions. The interaction can be modelled by a δ-potential in the relative coordinate of the particles. Each collision will dynamically entangle the motion of the particles by a certain amount. Therefore, the time evolution of entanglement will show a step-like behaviour. Our aim is to optimize the corresponding von-Neumann-entropy at an arbitrarily fixed time by dynamically varying the trap frequency. Hence we apply a special form of Krotov’s method for optimal control problems which guarantees monotone convergence even for non-linear functionals.