Abstract
The problem of controllability of quantum systems interacting with an engineered environment, whose dynamics are described by a non-Markovian master equation is addressed. The manipulations of the dynamics is realized with both a laser field 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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The authors are grateful to Alireza Shabani for useful discussions and comments.
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This work was supported by “Agence Nationale de la Recherche” (ANR), Projet Blanc EMAQS number ANR-2011-BS01-017-01, US-Department of Energy and Army Research Office.
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Grigoriu, A., Rabitz, H. & Turinici, G. Controllability analysis of quantum systems immersed within an engineered environment. J Math Chem 51, 1548–1560 (2013). https://doi.org/10.1007/s10910-013-0163-6
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DOI: https://doi.org/10.1007/s10910-013-0163-6