Visualizing operators of coupled spin systems
arXiv:1409.5417 · doi:10.1103/PhysRevA.91.042122
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.
27 pages, 12 figures, 10 tables; v2: extended the discussion of Wigner functions, the motivation, and the comparison to other work
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