Complete controllability of finite-level quantum systems

Citation
H. Fu et al., Complete controllability of finite-level quantum systems, J PHYS A, 34(8), 2001, pp. 1679-1690
Citations number
6
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
8
Year of publication
2001
Pages
1679 - 1690
Database
ISI
SICI code
0305-4470(20010302)34:8<1679:CCOFQS>2.0.ZU;2-B
Abstract
Complete controllability is a fundamental issue in the field of control of quantum systems, not least because of its implications for dynamical realiz ability of the kinematical bounds on the optimization of observables. In th is paper we investigate the question of complete controllability for finite -level quantum systems subject to a single control field, for which the int eraction is of dipole form. Sufficient criteria for complete controllabilit y of a wide range of finite-level quantum systems are established and the q uestion of limits of complete controllability is addressed. Finally, the re sults are applied to give a classification of complete controllability for four-level systems.