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F. Lucas and K. Hornberger
Adaptive Resummation of Markovian Quantum Dynamics
Phys. Rev. Lett. 110, 240401 (2013)


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.

(5 pages, 2 figures)   [ pdf, journal, arXiv:1301.2453 ]

doi:10.1103/PhysRevLett.110.240401            (c) The American Physical Society