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Q: Fachverband Quantenoptik und Photonik

Q 60: Quantum effects: Entanglement and decoherence I

Q 60.3: Vortrag

Freitag, 22. März 2013, 11:45–12:00, A 310

Adaptive Resummation of Open Quantum Dynamics — •Felix Lucas^{1, 2} and Klaus Hornberger^{1, 2} — ¹Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany — ²University of Duisburg-Essen, Faculty of Physics, Lotharstraße 1-21, 47057 Duisburg, Germany

We introduce a scheme for obtaining analytic approximations to the evolution of Markovian open quantum systems based on the lowest orders of a highly convergent, generalized Dyson series. The expansion is performed in terms of the number of environment-induced quantum jumps, and its rapid convergence is ensured by a resummation that makes use of adaptive transformations of the jump operators. The resulting lowest order terms can be evaluated analytically and provide an effective description of the full open system dynamics. The power of this approach is demonstrated by means of two examples: a free particle, reflected upon detection and the Landau-Zener system in the presence of dephasing. The derived approximations are asymptotically exact and show errors on the per mil level.