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Related Experiment Video

Updated: Jun 3, 2026

Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis
07:24

Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis

Published on: May 10, 2021

Self-consistent electron counting statistics.

Clive Emary1

  • 1Institut für Theoretische Physik, Hardenbergstraße 36, TU Berlin, D-10623 Berlin, Germany.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|March 17, 2011
PubMed
Summary

We introduce a self-consistent perturbation theory in Liouville space for quantum transport. This method combines master equation advantages with nonperturbative features, enabling calculation of full counting statistics and incorporating non-Markovian effects.

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Area of Science:

  • Quantum physics
  • Quantum transport phenomena
  • Theoretical physics

Background:

  • Master equation approaches are common for quantum transport but often lack nonperturbative features.
  • Self-consistent treatments can capture nonperturbative dynamics but are complex to implement.
  • Calculating full counting statistics and incorporating non-Markovian effects are crucial for detailed quantum transport analysis.

Purpose of the Study:

  • To develop a novel self-consistent perturbation theory in Liouville space.
  • To integrate the strengths of master equation approaches with nonperturbative self-consistent methods.
  • To enable the calculation of full counting statistics and non-Markovian effects within a unified framework.

Main Methods:

  • Development of a self-consistent perturbation theory formulated in Liouville space.
  • Inclusion of counting fields within the self-consistent formalism.
  • Incorporation of non-Markovian effects into the theoretical framework.
  • Introduction and analysis of various self-consistent approximations.

Main Results:

  • A self-consistent perturbation theory is established, merging master equation and nonperturbative approaches.
  • The formalism allows for the calculation of full counting statistics.
  • Non-Markovian dynamics are successfully incorporated.
  • Different self-consistent approximations are presented and comparatively discussed.

Conclusions:

  • The developed self-consistent perturbation theory offers a powerful tool for quantum transport studies.
  • This approach provides a unified method for analyzing quantum transport, including full counting statistics and non-Markovian effects.
  • The introduced approximations allow for flexibility and tailored application to specific quantum transport problems.