Controllability of quantum mechanical systems by root space decomposition of su(N)
arXiv:quant-ph/0110147 · doi:10.1063/1.1467611
Abstract
The controllability property of the unitary propagator of an N-level quantum mechanical system subject to a single control field is described using the structure theory of semisimple Lie algebras. Sufficient conditions are provided for the vector fields in a generic configuration as well as in a few degenerate cases.
11 pages, revtex4