Monday, January 14, 2013

1301.2453 (Felix Lucas et al.)

Adaptive Resummation of Markovian Quantum Dynamics    [PDF]

Felix Lucas, Klaus Hornberger
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.
View original: http://arxiv.org/abs/1301.2453

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