Hannover 2010 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 23: Quantum Effects: Light Scattering and Propagation II / QED I

Q 23.4: Talk

Wednesday, March 10, 2010, 11:30–11:45, A 320

Counting Statistics in Multi-stable Systems — •Gernot Schaller, Gerold Kießlich, and Tobias Brandes — Institut für Theoretische Physik, Hardenbergstraße 36, Technische Universität Berlin, D-10623 Berlin, Germany

Using a generic model for stochastic transport through a single quantum dot that is modified by the Coulomb interaction of environmental (weakly coupled) quantum dots, we derive general properties of the full counting statistics for multi-stable Markovian transport systems. We study the temporal crossover from multi-modal to broad uni-modal distributions depending on the initial mixture, the long-term asymptotics and the divergence of the cumulants in the limit of a large number of transport branches. These findings demonstrate that the counting statistics of a single resonant level may be used to probe background charge configurations.

• [1.] G. Schaller, G. Kießlich, and T. Brandes, arXiv:0912.2887.
• [2.] G. Schaller, G. Kießlich, and T. Brandes, Phys. Rev. B 80, 245107 (2009).