Singular constant control trajectories and transition degeneracies in a closed 4-level quantum system

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Date
2010
Link to item file
https://hal.archives-ouvertes.fr/hal-00522130
Dewey
Analyse
Sujet
controllability aspects; study of singularity of trajectories; 4-dimensional quantum system
DOI
http://dx.doi.org/10.1109/CDC.2010.5717900
Conference country
UNITED STATES
Book title
49th IEEE Conference on Decision and Control (CDC), 2010. Proceedings
Publisher
IEEE
Publisher city
Piscataway, NJ
Year
2010
ISBN
9781424477456
URI
https://basepub.dauphine.fr/handle/123456789/4912
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Author
Belhadj, Mohamed
Grigoriu, Andreea
Turinici, Gabriel
Type
Communication / Conférence
Item number of pages
5444-5449
Abstract (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.