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Adaptive Resummation of Markovian Quantum Dynamics

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 mil level over the entire parameter range.

preprint2013arXivOpen access
Felix LucasKlaus Hornberger
quant-ph
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Felix LucasKlaus Hornberger

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