Heidelberg 2015 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 17: Quantum Effects: Entanglement and Decoherence II
Q 17.6: Vortrag
Dienstag, 24. März 2015, 12:15–12:30, B/gHS
Completely positive hierarchy equations of motion — •Björn Witt1,3, Łukasz Rudnicki2,3, and Florian Mintert1,3 — 1Imperial College London, London SW7 2AZ, United Kingdom — 2Institute for Physics, Albert-Ludwigs-Universität Freiburg, Rheinstrasse 10, 79104 Freiburg, Germany — 3Freiburg Institute for Advanced Studies (FRIAS), Albert-Ludwigs-Universität Freiburg, Albertstr. 19, 79104 Freiburg, Germany
A hierarchical expansion of equations of motion permit to approximate non-Markovian dynamics of open quantum systems very efficiently. Often, however, the inevitable truncation of such hierarchy equations of motion (HEOM) result in a violation of complete positivity and only well chosen hierarchies induce genuine quantum channels. We propose strategies in order to derive sufficient conditions for HEOM to preserve complete positivity. Such hierarchies extend the Lindblad formalism and give rise to a broadened range of dynamics as we demonstrate by applying them to low-dimensional quantum mechanical systems.