Controllability of quantum mechanical systems by root space decomposition of su(N)
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.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- May 2002
- DOI:
- 10.1063/1.1467611
- arXiv:
- arXiv:quant-ph/0110147
- Bibcode:
- 2002JMP....43.2051A
- Keywords:
-
- 03.65.Fd;
- 02.20.Sv;
- 02.10.Ud;
- Algebraic methods;
- Lie algebras of Lie groups;
- Linear algebra;
- Quantum Physics
- E-Print:
- 11 pages, revtex4