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Controllability Analysis of Quantum Systems Immersed Within an Engineered Environment

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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Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-00696546
Date
2013
Journal name
Journal of Mathematical Chemistry
Volume
51
Number
6
Publisher
Baltzer
Pages
1548-1560
Publication identifier
Metadata
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Author(s)
Grigoriu, Andreea
Turinici, Gabriel cc
Rabitz, Herschel
Abstract (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.
Subjects / Keywords
Lie group controllability; open system controllability; quantum control; controllability of the Lindblad equation; controllability in a non-compact Lie group