Mainz 2017 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 23: Quantum Information: Concepts and Methods IV

Q 23.4: Vortrag

Dienstag, 7. März 2017, 15:15–15:30, P 2

Time evolution of spin systems in a generalized Wigner representation — •Balint Koczor, Robert Zeier, and Steffen J. Glaser — Department Chemie, Technische Universität München, Lichtenbergstrasse 4, 85747 Garching, Germany

Phase-space representations as Wigner functions are a powerful tool for describing the time evolution of infinite-dimensional quantum systems and have been widely used in quantum optics and beyond. We present a phase-space representation for finite-dimensional quantum systems as coupled spin systems, for which much less is known. This representation is convenient for visualizing arbitrary operators and provides a novel approach for describing and predicting the time evolution without using matrices. Our approach relies on linear combinations of spherical harmonics transforming naturally under local rotations as well as decompositions of operators into sums of tensor products. We illustrate our appraoch with multiple examples for coupled spins systems consisting of up to three spins 1/2.