Talk of Dr. Gunther Dirr

January 24, 2023

--- Title: Bilinear Models for Controlling Closed and Open Quantum Systems

Time: January 24, 2023
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Dr. Gunther Dirr
Dynamics and Control
Institute of Mathematics
Julius-Maximilians-Universität of Würzburg
Würzburg, Germany


Tuesday 2023-01-24 4 p.m.
IST Seminar Room 2.255 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen



In the first part of our presentation, we recall basic facts about finite dimensional bilinear control systems: in particular, we expand on their relation to invariant systems on Lie groups and address the classical accessibility and controllability characterizations by Jurdjevic, Sussmann and Brockett. In part two, we briefly outline the basic quantum mechanical principles needed to formulate the dynamics of closed and open quantum systems. In the course of this, we present and discuss controlled Liouville and GKSL-equations (Gorini/Kossakowski/Sudarshan & Lindblad). Our focus is on the reachability analysis of finite dimensional scenarios. Finally, in part three, we also provide some major findings for infinite dimensional models - both for closed and open systems.


Biographical Information

Gunther Dirr studied Mathematics and Physics at the University of Würzburg, Germany. He received his Diploma and Ph.D. degree in Mathematics in 1995 and 2001 supervised by D. Flockerzi and U. Helmke, respectively. He has completed post-doctoral positions at the University of Würzburg and the Technical University of Munich. Currently, he holds a permanent position at the Chair of Mathematics II (Research Group: Dynamical Systems and Control Theory) at the Institute of Mathematics, University of Würzburg. His major research interests are non-linear geometric control theory and optimal control including bilinear control, invariant systems on Lie groups and homogeneous spaces as well as their applications to quantum control.

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