SMuK 2023 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 1: Quantum Dynamics and Quantum Information
MP 1.2: Talk
Monday, March 20, 2023, 11:30–12:00, HSZ/0003
Markovianity in Quantum Thermodynamics — Frederik vom Ende1, Emanuel Malvetti2,3, Gunther Dirr4, and •Thomas Schulte-Herbrüggen2,3 — 1Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany — 2Department of Chemistry, Technische Universität München, Lichtenbergstr. 4, 85737 Garching, Germany — 3Munich Centre for Quantum Science and Technology & Munich Quantum Valley, Schellingstr. 4, 80799 München, Germany — 4Department of Mathematics, Julius-Maximilians-Universität Würzburg, 97074 Würzburg, Germany
We connect quantum control theory with quantum thermodynamics within the framework of Lie-semigroup theory. In particular, we sketch how to construct the Markovian counterparts of quantum Thermal Operations via their Lie wedge. In an explicit qubit example, we parameterise the Markovian subset of maps sitting within all the Thermal Operations.
As an application, we give inclusions in terms of d-majorisation for reachable sets of bilinear control systems, where coherent controls are complemented by switchable couplings to a thermal bath as additional resource.
Based on arxiv:2303.01891 and Open Syst. Inf. Dyn. 30 (2023), 2350003.