Towards generic adiabatic elimination for bipartite open quantum systems
Year: 2017
Type: preprint
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.
Source: arXiv (Cornell University)
Institutions: Université Paris Sciences et Lettres, Centre Automatique et Systèmes, QUANTIC: QUANTum Information Circuits, École Nationale Supérieure des Mines de Paris, Institut national de recherche en sciences et technologies du numérique, Université de Toulon, Centre National de la Recherche Scientifique, Arts et Métiers, Aix-Marseille Université, Ghent University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2951381101