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Towards generic adiabatic elimination for bipartite open quantum systems

Rémi Azouit 1 Francesca Chittaro 2, 3, 4 Alain Sarlette 1 Pierre Rouchon 5
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
4 CDE - Contrôle et Diagnostic pour l’Environnement
LIS - Laboratoire d'Informatique et Systèmes
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.
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Submitted on : Tuesday, November 14, 2017 - 4:05:32 PM
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Rémi Azouit, Francesca Chittaro, Alain Sarlette, Pierre Rouchon. Towards generic adiabatic elimination for bipartite open quantum systems. Quantum Science and Technology, IOP Science, 2017, 2 (4), pp.1-15. ⟨10.1088/2058-9565/aa7f3f⟩. ⟨hal-01634588⟩



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