Structure-preserving adiabatic elimination for open bipartite quantum systems

Rémi Azouit 1, 2 Francesca Chittaro 3 Alain Sarlette 1 Pierre Rouchon 1, 2
1 QUANTIC - QUANTum Information Circuits
Inria de Paris, MINES ParisTech - École nationale supérieure des mines de Paris, ENS Paris - École normale supérieure - Paris, UPMC - Université Pierre et Marie Curie - Paris 6
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 perturbed by the fast one (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.
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Rémi Azouit, Francesca Chittaro, Alain Sarlette, Pierre Rouchon. Structure-preserving adiabatic elimination for open bipartite quantum systems. 2017 IFAC World Congress, Jul 2017, Toulouse, France. ⟨10.1016/j.ifacol.2017.08.2000⟩. ⟨hal-01394422⟩

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