|Instituto de Ciencia de Materiales de Madrid|
|Condensed Matter Theory|
|Sigmund Kohler||home | cv | research | publications|
Full-counting statistics of time-dependent conductorsMónica Benito, Michael Niklas, and Sigmund Kohler
Phys. Rev. B 94, 195433 (2016)
We develop a scheme for the computation of the full-counting statistics of transport described by Markovian master equations with an arbitrary time dependence. It is based on a hierarchy of generalized density operators, where the trace of each operator yields one cumulant. This direct relation offers a better numerical efficiency than the equivalent number-resolved master equation. The proposed method is particularly useful for conductors with an elaborate time-dependence stemming, e.g., from pulses or combinations of slow and fast parameter switching. As a test bench for the evaluation of the numerical stability, we consider time-independent problems for which the full-counting statistics can be computed by other means. As applications, we study cumulants of higher order for two time-dependent transport problems of recent interest, namely steady-state coherent transfer by adiabatic passage and Landau-Zener-Stückelberg-Majorana interference in an open double quantum dot.
[Condensed Matter Theory]
last modified: 15.10.2018 by Sigmund Kohler