# Rostock 2019 – wissenschaftliches Programm

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# Q: Fachverband Quantenoptik und Photonik

## Q 57: Poster: Quantum Optics and Photonics III

### Q 57.8: Poster

### Donnerstag, 14. März 2019, 16:15–18:15, S Fobau Physik

**Optimized preparation for a superposition of opposite circular states in a Rydberg atom** — •Fernando Gago Encinas^{1}, Sabrina Patsch^{1}, Michel Brune^{2}, Jean-Michel Raimond^{2}, Sébastien Gleyzes^{2}, and Christiane Koch^{1} — ^{1}Theoretical Physics, University of Kassel, Kassel, Germany. — ^{2}Collège de France, Paris, France.

Circular states of Rydberg atoms, those with maximum projection of the electron angular momentum, have proven extremely useful in quantum sensing and quantum computation. The aim of this work is to achieve a superposition of the two opposite circular states in the same atom, with +*m*_{l}^{max} and −*m*_{l}^{max}. The corresponding non-classical state would serve as a great starting point for quantum-enhanced measurement of magnetic fields. While elusive at first glance due to the need for a double circularization process, this objective presents an interesting and challenging control problem. To tackle this goal, we use optimal control theory in order to obtain shaped radio-frequency pulses that minimize both the time needed and the error made during the process.