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arXiv · 1602.04045

Scattering theory for Lindblad master equations

Marco Falconi·Jérémy Faupin·Jürg Fröhlich·Baptiste Schubnel
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Abstract

We study scattering theory for a quantum-mechanical system consisting of a particle scattered off a dynamical target that occupies a compact region in position space. After taking a trace over the degrees of freedom of the target, the dynamics of the particle is generated by a Lindbladian acting on the space of trace-class operators. We study scattering theory for a general class of Lindbladians with bounded interaction terms. First, we consider models where a particle approaching the target is always re-emitted by the target. Then we study models where the particle may be captured by the target. An important ingredient of our analysis is a scattering theory for dissipative operators on Hilbert space.

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Marco Falconi, Jérémy Faupin, Jürg Fröhlich, Baptiste Schubnel. 2016-02-12. Scattering theory for Lindblad master equations. https://doi.org/10.1007/s00220-016-2737-1

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