Dresden 2014 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 18: Transport: Fluctuations and Noise

TT 18.4: Vortrag

Montag, 31. März 2014, 15:45–16:00, HSZ 204

Floquet Theory of Electron Waiting Times in Quantum-Coherent Conductors — •David Dasenbrook, Christian Flindt, and Markus Büttiker — Département de Physique Théorique, Université de Genève, 1211 Genève, Switzerland

The distribution of waiting times between charge detection events has recently gained some interest in theoretical mesoscopic physics. As an alternative to full counting statistics (FCS), which is typically evaluated in the long time limit, it allows for a complementary characterization of electron transport on short and intermediate time scales. Waiting time distributions (WTD) can be used as a tool to investigate the interplay between extrinsic and intrinsic time scales in periodically driven systems.

However, while there have been results on waiting times in classical driven systems, a formalism for WTDs in phase coherent systems with an external time-dependence has so far been lacking. We present such a formalism for one-dimensional non-interacting systems based on a Floquet scattering approach.

We demonstrate the usefulness of our formalism by means of two examples: a quantum point contact (QPC) whose transmission is weakly and slowly modulated and the application of Lorentzian voltage pulses of integer charge to an ideal conductor.