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Towards generic adiabatic elimination for bipartite open quantum systems

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Abstract
We consider a composite open quantum system consisting of a fast subsystem coupled to a slow one. Using the time scale separation, we develop an adiabatic elimination technique to derive at any order the reduced model describing the slow subsystem. The method, based on an asymptotic expansion and geometric singular perturbation theory, ensures the physical interpretation of the reduced second-order model by giving the reduced dynamics in a Lindblad form and the state reduction in Kraus map form. We give explicit second-order formulas for Hamiltonian or cascade coupling between the two subsystems. These formulas can be used to engineer, via a careful choice of the fast subsystem, the Hamiltonian and Lindbald operators governing the dissipative dynamics of the slow subsystem.
Keywords
DIFFERENTIAL-EQUATIONS, SINGULAR PERTURBATION, LIGHT, REDUCTION, STATE, adiabatic elimination, bipartite system, open quantum system, reservoir, engineering

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Please use this url to cite or link to this publication:

MLA
Azouit, R., F. Chittaro, Alain Sarlette, et al. “Towards Generic Adiabatic Elimination for Bipartite Open Quantum Systems.” QUANTUM SCIENCE AND TECHNOLOGY 2.4 (2017): n. pag. Print.
APA
Azouit, R., Chittaro, F., Sarlette, A., & Rouchon, P. (2017). Towards generic adiabatic elimination for bipartite open quantum systems. QUANTUM SCIENCE AND TECHNOLOGY, 2(4).
Chicago author-date
Azouit, R., F. Chittaro, Alain Sarlette, and P. Rouchon. 2017. “Towards Generic Adiabatic Elimination for Bipartite Open Quantum Systems.” Quantum Science and Technology 2 (4).
Chicago author-date (all authors)
Azouit, R., F. Chittaro, Alain Sarlette, and P. Rouchon. 2017. “Towards Generic Adiabatic Elimination for Bipartite Open Quantum Systems.” Quantum Science and Technology 2 (4).
Vancouver
1.
Azouit R, Chittaro F, Sarlette A, Rouchon P. Towards generic adiabatic elimination for bipartite open quantum systems. QUANTUM SCIENCE AND TECHNOLOGY. Bristol: Iop Publishing Ltd; 2017;2(4).
IEEE
[1]
R. Azouit, F. Chittaro, A. Sarlette, and P. Rouchon, “Towards generic adiabatic elimination for bipartite open quantum systems,” QUANTUM SCIENCE AND TECHNOLOGY, vol. 2, no. 4, 2017.
@article{8559967,
  abstract     = {{We consider a composite open quantum system consisting of a fast subsystem coupled to a slow one. Using the time scale separation, we develop an adiabatic elimination technique to derive at any order the reduced model describing the slow subsystem. The method, based on an asymptotic expansion and geometric singular perturbation theory, ensures the physical interpretation of the reduced second-order model by giving the reduced dynamics in a Lindblad form and the state reduction in Kraus map form. We give explicit second-order formulas for Hamiltonian or cascade coupling between the two subsystems. These formulas can be used to engineer, via a careful choice of the fast subsystem, the Hamiltonian and Lindbald operators governing the dissipative dynamics of the slow subsystem.}},
  articleno    = {{UNSP 044011}},
  author       = {{Azouit, R. and Chittaro, F. and Sarlette, Alain and Rouchon, P.}},
  issn         = {{2058-9565}},
  journal      = {{QUANTUM SCIENCE AND TECHNOLOGY}},
  keywords     = {{DIFFERENTIAL-EQUATIONS,SINGULAR PERTURBATION,LIGHT,REDUCTION,STATE,adiabatic elimination,bipartite system,open quantum system,reservoir,engineering}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{15}},
  publisher    = {{Iop Publishing Ltd}},
  title        = {{Towards generic adiabatic elimination for bipartite open quantum systems}},
  url          = {{http://dx.doi.org/10.1088/2058-9565/aa7f3f}},
  volume       = {{2}},
  year         = {{2017}},
}

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