Stuttgart 2012 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 35: Poster 2

Q 35.39: Poster

Wednesday, March 14, 2012, 16:30–19:00, Poster.I+II

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

We discuss two atoms in a harmonic trap which interact via pointlike collisions. The interaction can be modelled by a δ-potential in the relative coordinate of the atomic positions. Each collision will dynamically entangle the motion of the atoms by a certain amount. Therefore, the time evolution of entanglement, measured by a von-Neumann entropy, will show a step-like behaviour with local minima and maxima. Our aim is to improve the von-Neumann entropy at the time, where the first local minimum appears, by dynamically varying the trap frequency. Hence we apply an iterative algorithm based on optimal control theory which allows us to calculate the optimal trap frequency under restrictions and which guarantees monotone convergence even for non-linear functionals.