Hannover 2013 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 62: Ultracold atoms: Manipulation and detection
Q 62.6: Talk
Friday, March 22, 2013, 12:15–12:30, F 142
Optimal control of effective Hamiltonians — •Albert Verdeny Vilalta1, Cord A. Müller2, and Florian Mintert1 — 1Freiburg Institute for Advanced Studies, Albert-Ludwigs University of Freiburg, Freiburg 79104, Germany — 2Centre for Quantum Technologies, National University of Singapore, Singapore 117543, Singapore
Periodically driven Hamiltonians can be approximately described by a time-independent effective Hamiltonian if the driving is sufficiently fast. There exist, however, many different drivings that result in the same effective Hamiltonian. Using optimal control techniques, we investigate which driving yields the best approximation to the dynamics induced by a desired effective Hamiltonian. The viability of our approach is proven for the simplest example of a driven three-level Lambda system, and shall ultimately help to improve the precision of quantum simulations.