title: Adaptive resummation of Markovian quantum dynamics.
abstract: We introduce a method for obtaining analytic approximations to the evolution of Markovian open quantum systems. It is based on resumming a generalized Dyson series in a way that ensures optimal convergence even in the absence of a small parameter. The power of this approach is demonstrated by two benchmark examples: the spatial detection of a free particle and the Landau-Zener problem in the presence of dephasing. The derived approximations are asymptotically exact and exhibit errors on the per mill level over the entire parameter range.
authors.affiliation: Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany and University of Duisburg-Essen, Faculty of Physics, Lotharstraße 1-21, 47057 Duisburg, Germany.
authors.forename: Felix
authors.initials: F
authors.lastname: Lucas
authors.affiliation: University of Duisburg-Essen, Faculty of Physics, Lotharstraße 1-21, 47057 Duisburg, Germany.
authors.forename: Klaus
authors.initials: K
authors.lastname: Hornberger