Full-counting statistics of time-dependent conductors

Benito, Monica and Niklas, Michael and Kohler, Sigmund (2016) Full-counting statistics of time-dependent conductors. PHYSICAL REVIEW B, 94 (19): 195433. ISSN 2469-9950, 2469-9969

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Abstract

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 (CTAP) and Landau-Zener-Stuckelberg-Majorana (LZSM) interference in an open double quantum dot.

Item Type: Article
Uncontrolled Keywords: QUANTUM SHOT-NOISE; TRANSPORT;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 12 Apr 2019 10:12
Last Modified: 12 Apr 2019 10:12
URI: https://pred.uni-regensburg.de/id/eprint/3938

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