Hamburg 2016 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Statistischer Zugang zur Quantentheorie

MP 7.1: Vortrag

Donnerstag, 3. März 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.