Controllability Analysis of Quantum Systems Immersed Within an Engineered Environment

Grigoriu, Andreea; Turinici, Gabriel; Rabitz, Herschel

Grigoriu, Andreea; Turinici, Gabriel; Rabitz, Herschel (2013), Controllability Analysis of Quantum Systems Immersed Within an Engineered Environment, Journal of Mathematical Chemistry, 51, 6, p. 1548-1560. http://dx.doi.org/10.1007/s10910-013-0163-6

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https://hal.archives-ouvertes.fr/hal-00696546

Date

2013

Nom de la revue

Journal of Mathematical Chemistry

Volume

Numéro

Éditeur

Baltzer

Pages

1548-1560

Résumé (EN)

The problem of controllability of open quantum systems (i.e., quantum systems interacting with an environment), whose dynamics is described by a non-Markowian master equation is addressed. The manipulations of the dynamics is realized with both a laser eld and a tailored nonequilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable states sets and to prove controllability. The theoretical results are supported by examples.

Mots-clés

Lie group controllability; open system controllability; quantum control; controllability of the Lindblad equation; controllability in a non-compact Lie group