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Complete controllability of finite-level quantum systems

2001; Institute of Physics; Volume: 34; Issue: 8 Linguagem: Inglês

10.1088/0305-4470/34/8/313

1361-6447

Hongyan Fu, S. G. Schirmer, A. I. Solomon,

Atomic and Molecular Physics

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.