2001/02/19 by H Fu, Hongyan Fu, S G Schirmer +3 · 6 citations
Physics and Astronomy · #Atomic and Molecular Physics #Laser-Matter Interactions and Applications #Quantum chaos and dynamical systems
paper · doi:10.1088/0305-4470/34/8/313
openalex publication_date 2001/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Complete controllability is a fundamental issue in the field of control of quantum systems, not least because of its implications for dynamical realizability of the kinematical bounds on the optimization of observables. In this paper we investigate the question of complete controllability for finite-level quantum systems subject to a single control field, for which the interaction is of dipole form. Sufficient criteria for complete controllability of a wide range of finite-level quantum systems are established and the question of limits of complete controllability is addressed. Finally, the results are applied to give a classification of complete controllability for four-level systems.