Controllability Analysis of Quantum Systems Immersed within an Engineered Environment - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematical Chemistry Année : 2013

Controllability Analysis of Quantum Systems Immersed within an Engineered Environment

Andreea Grigoriu
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Herschel Rabitz
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Résumé

The problem of controllability of quantum systems interacting with an engineered environment, whose dynamics are described by a non-Markowian master equation is addressed. The manipulations of the dy- namics is realized with both a laser eld and a tailored non-equilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable state sets and to prove controllability. The theoretical results are supported by examples.
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Dates et versions

hal-00696546 , version 1 (11-05-2012)
hal-00696546 , version 2 (13-05-2012)
hal-00696546 , version 3 (18-11-2012)

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Andreea Grigoriu, Herschel Rabitz, Gabriel Turinici. Controllability Analysis of Quantum Systems Immersed within an Engineered Environment. Journal of Mathematical Chemistry, 2013, 51 (6), pp.1548-1560. ⟨10.1007/s10910-013-0163-6⟩. ⟨hal-00696546v3⟩
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