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Instituto de Ciencia de Materiales de Madrid |
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| Condensed Matter Theory | |||||
| Sigmund Kohler | home | cv | research | publications | ||||
Full-counting statistics of time-dependent conductorsMónica Benito, Michael Niklas, and Sigmund KohlerPhys. 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. arXiv:1608.07970 [cond-mat] |
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last modified: 15.3.2024 by
Sigmund Kohler