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Full-counting statistics of time-dependent conductors
- Source :
- Digital.CSIC. Repositorio Institucional del CSIC, instname
- Publication Year :
- 2023
-
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 and Landau-Zener-St\"uckelberg-Majorana interference in an open double quantum dot.<br />Comment: 7 pages, 5 figures
- Subjects :
- Physics
73.23.Hk
Trace (linear algebra)
Condensed Matter - Mesoscale and Nanoscale Physics
42.50.Lc
Computation
ddc:530
FOS: Physical sciences
Markov process
530 Physik
Interference (wave propagation)
01 natural sciences
010305 fluids & plasmas
symbols.namesake
Operator (computer programming)
05.60.Gg
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
0103 physical sciences
Master equation
Statistics
symbols
010306 general physics
Adiabatic process
Numerical stability
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Digital.CSIC. Repositorio Institucional del CSIC, instname
- Accession number :
- edsair.doi.dedup.....7035f1fb753480e1c42e85509cf109a7