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arXiv · 1409.5417

Visualizing operators of coupled spin systems

Ariane Garon·Robert Zeier·Steffen J. Glaser
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Abstract

The state of quantum systems, their energetics, and their time evolution is modeled by abstract operators. How can one visualize such operators for coupled spin systems? A general approach is presented which consists of several shapes representing linear combinations of spherical harmonics. It is applicable to an arbitrary number of spins and can be interpreted as a generalization of Wigner functions. The corresponding visualization transforms naturally under non-selective spin rotations as well as spin permutations. Examples and applications are illustrated for the case of three spins 1/2.

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Ariane Garon, Robert Zeier, Steffen J. Glaser. 2015-01-26. Visualizing operators of coupled spin systems. https://doi.org/10.1103/physreva.91.042122

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