Singular constant control trajectories and transition degeneracies in a closed 4-level quantum system
Belhadj, Mohamed; Grigoriu, Andreea; Turinici, Gabriel (2010), Singular constant control trajectories and transition degeneracies in a closed 4-level quantum system, 49th IEEE Conference on Decision and Control (CDC), 2010. Proceedings, IEEE : Piscataway, NJ, p. 5444-5449. 10.1109/CDC.2010.5717900
Type
Communication / ConférenceExternal document link
https://hal.archives-ouvertes.fr/hal-00522130Date
2010Conference country
UNITED STATESBook title
49th IEEE Conference on Decision and Control (CDC), 2010. ProceedingsPublisher
IEEE
Published in
Piscataway, NJ
ISBN
9781424477456
Pages
5444-5449
Publication identifier
Metadata
Show full item recordAbstract (EN)
We analyze in this paper controllability aspects for a 4-dimensional quantum system. The ”strong regularity” (cf. [1]) has been proven to be sufficient condition for global controllability. A conjecture in the literature asks whether this condition (up to the introduction of an additive constant in the control field) is also necessary. We prove here a negative result. The result also applies to the study of singularity of trajectories associated to constant control field.Subjects / Keywords
controllability aspects; study of singularity of trajectories; 4-dimensional quantum systemRelated items
Showing items related by title and author.
-
Grigoriu, Andreea; Turinici, Gabriel (2009) Article accepté pour publication ou publié
-
Coron, Jean-Luc; Grigoriu, Andreea; Lefter, Catalin; Turinici, Gabriel (2009) Article accepté pour publication ou publié
-
Grigoriu, Andreea; Turinici, Gabriel; Rabitz, Herschel (2013) Article accepté pour publication ou publié
-
Stability analysis of discontinous quantum control systems with dipole and polarizability coupling Grigoriu, Andreea (2012) Article accepté pour publication ou publié
-
Grigoriu, Andreea; Lefter, Catalin; Turinici, Gabriel (2009) Communication / Conférence