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Structure-preserving adiabatic elimination for open bipartite quantum systems

(2017) IFAC PAPERSONLINE. 50(1). p.13026-13031
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Abstract
We consider a quantum system composed of a fast quantum subsystem coupled to a slow one. We provide expressions of the approximate reduced model describing the slow subsystem (adiabatic elimination), based on an asymptotic expansion that we solve up to second order. The specificity of our expressions is to preserve the quantum structure in the reduced model: we provide the reduced dynamics in Lindblad form, and the mapping defining the slow manifold as a completely positive map in Kraus form. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Keywords
EQUATIONS, quantum systems, quantum composite systems, singular perturbation, method, model reduction, positive systems

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MLA
Azouit, R. et al. “Structure-preserving Adiabatic Elimination for Open Bipartite Quantum Systems.” Ifac Papersonline. Vol. 50. Amsterdam: Elsevier Science Bv, 2017. 13026–13031. Print.
APA
Azouit, R., Chittaro, F., Sarlette, A., & Rouchon, P. (2017). Structure-preserving adiabatic elimination for open bipartite quantum systems. IFAC PAPERSONLINE (Vol. 50, pp. 13026–13031). Presented at the 20th World Congress of the International-Federation-of-Automatic-Control (IFAC), Amsterdam: Elsevier Science Bv.
Chicago author-date
Azouit, R., F. Chittaro, Alain Sarlette, and P. Rouchon. 2017. “Structure-preserving Adiabatic Elimination for Open Bipartite Quantum Systems.” In Ifac Papersonline, 50:13026–13031. Amsterdam: Elsevier Science Bv.
Chicago author-date (all authors)
Azouit, R., F. Chittaro, Alain Sarlette, and P. Rouchon. 2017. “Structure-preserving Adiabatic Elimination for Open Bipartite Quantum Systems.” In Ifac Papersonline, 50:13026–13031. Amsterdam: Elsevier Science Bv.
Vancouver
1.
Azouit R, Chittaro F, Sarlette A, Rouchon P. Structure-preserving adiabatic elimination for open bipartite quantum systems. IFAC PAPERSONLINE. Amsterdam: Elsevier Science Bv; 2017. p. 13026–31.
IEEE
[1]
R. Azouit, F. Chittaro, A. Sarlette, and P. Rouchon, “Structure-preserving adiabatic elimination for open bipartite quantum systems,” in IFAC PAPERSONLINE, Toulouse, FRANCE, 2017, vol. 50, no. 1, pp. 13026–13031.
@inproceedings{8552448,
  abstract     = {{We consider a quantum system composed of a fast quantum subsystem coupled to a slow one. We provide expressions of the approximate reduced model describing the slow subsystem (adiabatic elimination), based on an asymptotic expansion that we solve up to second order. The specificity of our expressions is to preserve the quantum structure in the reduced model: we provide the reduced dynamics in Lindblad form, and the mapping defining the slow manifold as a completely positive map in Kraus form. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.}},
  author       = {{Azouit, R. and Chittaro, F. and Sarlette, Alain and Rouchon, P.}},
  booktitle    = {{IFAC PAPERSONLINE}},
  issn         = {{2405-8963}},
  keywords     = {{EQUATIONS,quantum systems,quantum composite systems,singular perturbation,method,model reduction,positive systems}},
  language     = {{eng}},
  location     = {{Toulouse, FRANCE}},
  number       = {{1}},
  pages        = {{13026--13031}},
  publisher    = {{Elsevier Science Bv}},
  title        = {{Structure-preserving adiabatic elimination for open bipartite quantum systems}},
  url          = {{http://dx.doi.org/10.1016/j.ifacol.2017.08.2000}},
  volume       = {{50}},
  year         = {{2017}},
}

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