Controllability of quantum mechanical systems by root space decomposition of su ( N )

  title={Controllability of quantum mechanical systems by root space decomposition of su ( N )},
  author={Claudio Altafini},
The question of controllability for a finite level quantum system, see Ref. [Dahlen 1996, Schirmer 2001a, Turinici 2001], is studied in this paper by analyzing the structure of the semisimple Lie algebra of its time evolution operator. The system dynamics is determined by its internal Hamiltonian and by an external Hamiltonian describing the interaction with a control field. Of the several different aspects of controllability that can be defined for a closed system of such type (overviewed in… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 11 references

Degrees of controllability for quantum systems and application to atomic systems

S. G. Schirmer, J. V. Leahy, A. I. Solomon
Phys . Rev . A • 2001

Controllability of molecular systems.

Physical review. A, Atomic, molecular, and optical physics • 1995

Complete controllability of quantum systems

S. G. Schirmer, H. Fu, A. I. Solomon
Lie groups and Lie algebras in Physics , Geometry and Mechanics • 1986

A transitivity problem from control theory

W. M. Boothby
Journal of differential equations

Control of Molecular Motion

A. Peirce, H. Rabitz, V. Ramakrishna
Proceedings of the IEEE

Controllability of right invariant systems on semisimple Lie groups

R. El Assoudi, J. P Gauthier, I. A. Kupka

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