Non-Markovian dynamics in the theory of full counting statistics

Christian Flindt*, Alessandro Braggio, Tomáš Novotný

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

6 Citations (Scopus)

Abstract

We consider the theoretical description of real-time counting of electrons tunneling through a Coulomb-blockade quantum dot using a detector with finite bandwidth. By tracing out the quantum dot we find that the dynamics of the detector effectively is non-Markovian. We calculate the cumulant generating function corresponding to the resulting non-Markovian rate equation and find that the measured current cumulants behave significantly differently compared to those of a Markovian transport process. Our findings provide a novel interpretation of noise suppression found in a number of systems.

Original languageEnglish
Title of host publicationNOISE AND FLUCTUATIONS: 19TH INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS; ICNF 2007
EditorsMunecazu Tacano, Yoshiharu Yamamoto, Mitsuyuki Nakao
PublisherAmerican Institute of Physics
Pages531-534
Number of pages4
ISBN (Print)978-0-7354-0432-8
DOIs
Publication statusPublished - 2007
MoE publication typeA4 Article in a conference publication
EventInternational Conference on Noise and Fluctuations - Tokyo, Japan
Duration: 9 Sep 200714 Sep 2007
Conference number: 19

Publication series

NameAIP Conference Proceedings
PublisherAmerican Institue of Physics
Volume922
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Noise and Fluctuations
Country/TerritoryJapan
CityTokyo
Period09/09/200714/09/2007

Keywords

  • detectors
  • Full counting statistics
  • non-Markovian dynamics

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