Full-counting statistics of time-dependent conductors

التفاصيل البيبلوغرافية
العنوان: Full-counting statistics of time-dependent conductors
المؤلفون: Mónica Benito, Michael Niklas, Sigmund Kohler
المصدر: Digital.CSIC. Repositorio Institucional del CSIC
instname
سنة النشر: 2023
مصطلحات موضوعية: 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
الوصف: 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.
Comment: 7 pages, 5 figures
وصف الملف: application/pdf
اللغة: English
الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7035f1fb753480e1c42e85509cf109a7Test
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/104288Test
حقوق: OPEN
رقم الانضمام: edsair.doi.dedup.....7035f1fb753480e1c42e85509cf109a7
قاعدة البيانات: OpenAIRE