Hamburg 2016 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 7: Statistischer Zugang zur Quantentheorie
MP 7.1: Talk
Thursday, March 3, 2016, 08:30–08:50, VMP6 HS B
A Unified Lie Systems Theory for Closed and Open Markovian Dynamical Quantum Systems — •Thomas Schulte-Herbrüggen1 and Gunther Dirr2 — 1Technical University of Munich (TUM) — 2University of Würzburg
Lie groups and Lie semigroups with their symmetries provide a unified framework to pinpoint the dynamic behaviour of closed and open quantum systems under all kinds of controls.
Recently, we showed that all Markovian quantum maps can be represented by Lie semigroups. These semigroups come with the geometry of affine maps, whose translational parts determine the respective fixed points. We exploit this geometry for dissipative fixed-point engineering of unique target states be they pure or mixed.
We extend capabilities by combining coherent control with simplest noise controls. Particular light is shed on reachability and open-loop versus closed-loop control design.