Visualizing operators of coupled spin systems
Quantum Physics
2015-04-29 v2
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.
Cite
@article{arxiv.1409.5417,
title = {Visualizing operators of coupled spin systems},
author = {Ariane Garon and Robert Zeier and Steffen J. Glaser},
journal= {arXiv preprint arXiv:1409.5417},
year = {2015}
}
Comments
27 pages, 12 figures, 10 tables; v2: extended the discussion of Wigner functions, the motivation, and the comparison to other work