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.

Structure-Preserving Adiabatic Elimination for Open Bipartite Quantum Systems / Azouit, R.; Chittaro, F. C.; Sarlette, A.; Rouchon, P.. - 50:1(2017), pp. 13026-13031. ( 20th IFAC WORLD CONGRESS Tolosa, Francia July, 9-14 2017) [10.1016/j.ifacol.2017.08.2000].

Structure-Preserving Adiabatic Elimination for Open Bipartite Quantum Systems

Chittaro F. C.;
2017-01-01

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.
2017
20th IFAC WORLD CONGRESS PROCEEDINGS
Amsterdam
Elsevier
Azouit, R.; Chittaro, F. C.; Sarlette, A.; Rouchon, P.
Structure-Preserving Adiabatic Elimination for Open Bipartite Quantum Systems / Azouit, R.; Chittaro, F. C.; Sarlette, A.; Rouchon, P.. - 50:1(2017), pp. 13026-13031. ( 20th IFAC WORLD CONGRESS Tolosa, Francia July, 9-14 2017) [10.1016/j.ifacol.2017.08.2000].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/444151
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