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Controllability analysis of quantum systems immersed within an engineered environment

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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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Acknowledgments

The authors are grateful to Alireza Shabani for useful discussions and comments.

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Authors and Affiliations

  1. Laboratoire Jacques-Louis Lions, Université Paris-Diderot, 175, rue du Chevaleret, 75013 , Paris, France

    A. Grigoriu

  2. Frick Laboratory, Department of Chemistry, Princeton University, Princeton, NJ, 08544, USA

    H. Rabitz

  3. CEREMADE, Université Paris Dauphine, Pl. du Mal de Lattre de Tassigny, 75016 , Paris, France

    G. Turinici

Authors
  1. A. Grigoriu
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  2. H. Rabitz
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  3. G. Turinici
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Corresponding author

Correspondence to A. Grigoriu.

Additional information

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

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