Heidelberg 2015 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 10: Quantum Information: Concepts and Methods II

Q 10.3: Vortrag

Montag, 23. März 2015, 15:15–15:30, K/HS1

Quantum Optimal Control and the rotating wave approximation — •Maximilian Keck, Tommaso Calarco, and Simone Montangero — Institut für komplexe Quantensysteme, Universität Ulm, D-89069 Ulm, Germany

The rotating wave approximation (RWA) is a well established method to simplify the description of laser-driven systems in the low intensity regime. We study the interplay between RWA and optimal control problems, in particular, we apply the RWA generalized version to N-dimensional systems with several laser-like driving fields which represent a great number of quantum optimal control (QOC) problems. With the help of graph theory concepts we identify an important subset of problems* where the corresponding graph is connected and acyclic * that can be recast in time-independent ones. As a starting point, we investigate the two-level system presenting the analytic solution to the (wave function) controllability, the state-to-state transfer, and time optimality problem. Furthermore we show how to solve the general connected and acyclic system numerically, showing that the approximate description given by the RWA solves QOC problems.