Non-Markovian dynamics in the theory of full counting statistics

Christian Flindt; Alessandro Braggio; Tomáš Novotný

doi:10.1063/1.2759735

Non-Markovian dynamics in the theory of full counting statistics

Christian Flindt^*
, Alessandro Braggio
, Tomáš Novotný

^*Tämän työn vastaava kirjoittaja

Ei julkaistu Aalto-yliopiston affiliaatiolla

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussa › Conference article in proceedings › Scientific › vertaisarvioitu

8 Viittaukset (Web of Science)

Abstrakti

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.

Alkuperäiskieli	Englanti
Otsikko	NOISE AND FLUCTUATIONS: 19TH INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS; ICNF 2007
Toimittajat	Munecazu Tacano, Yoshiharu Yamamoto, Mitsuyuki Nakao
Kustantaja	American Institute of Physics
Sivut	531-534
Sivumäärä	4
ISBN (painettu)	978-0-7354-0432-8
DOI - pysyväislinkit	https://doi.org/10.1063/1.2759735
Tila	Julkaistu - 2007
OKM-julkaisutyyppi	A4 Artikkeli konferenssijulkaisussa
Tapahtuma	International Conference on Noise and Fluctuations - Tokyo, Japani Kesto: 9 syysk. 2007 → 14 syysk. 2007 Konferenssinumero: 19

Julkaisusarja

Nimi	AIP Conference Proceedings
Kustantaja	American Institue of Physics
Vuosikerta	922
ISSN (painettu)	0094-243X
ISSN (elektroninen)	1551-7616

Conference

Conference	International Conference on Noise and Fluctuations
Maa/Alue	Japani
Kaupunki	Tokyo
Ajanjakso	09/09/2007 → 14/09/2007

Pääsy asiakirjaan

10.1063/1.2759735

Muut tiedostot ja linkit

Link to publication in Scopus

Siteeraa tätä

Flindt, C., Braggio, A., & Novotný, T. (2007). Non-Markovian dynamics in the theory of full counting statistics. teoksessa M. Tacano, Y. Yamamoto, & M. Nakao (Toimittajat), NOISE AND FLUCTUATIONS: 19TH INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS; ICNF 2007 (Sivut 531-534). (AIP Conference Proceedings ; Vuosikerta 922). American Institute of Physics. https://doi.org/10.1063/1.2759735

Flindt, Christian ; Braggio, Alessandro ; Novotný, Tomáš. / Non-Markovian dynamics in the theory of full counting statistics. NOISE AND FLUCTUATIONS: 19TH INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS; ICNF 2007. Toimittaja / Munecazu Tacano ; Yoshiharu Yamamoto ; Mitsuyuki Nakao. American Institute of Physics, 2007. Sivut 531-534 (AIP Conference Proceedings ).

@inproceedings{4aa0e944b255466391ee05aab45941f4,

title = "Non-Markovian dynamics in the theory of full counting statistics",

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.",

keywords = "detectors, Full counting statistics, non-Markovian dynamics",

author = "Christian Flindt and Alessandro Braggio and Tom{\'a}{\v s} Novotn{\'y}",

year = "2007",

doi = "10.1063/1.2759735",

language = "English",

isbn = "978-0-7354-0432-8",

series = "AIP Conference Proceedings ",

publisher = "American Institute of Physics",

pages = "531--534",

editor = "Munecazu Tacano and Yamamoto, \{Yoshiharu \} and Mitsuyuki Nakao",

booktitle = "NOISE AND FLUCTUATIONS: 19TH INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS; ICNF 2007",

address = "United States",

note = "International Conference on Noise and Fluctuations ; Conference date: 09-09-2007 Through 14-09-2007",

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Flindt, C, Braggio, A & Novotný, T 2007, Non-Markovian dynamics in the theory of full counting statistics. julkaisussa M Tacano, Y Yamamoto & M Nakao (toim), NOISE AND FLUCTUATIONS: 19TH INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS; ICNF 2007. AIP Conference Proceedings , Vuosikerta 922, American Institute of Physics, Sivut 531-534, International Conference on Noise and Fluctuations, Tokyo, Japani, 09/09/2007. https://doi.org/10.1063/1.2759735

Non-Markovian dynamics in the theory of full counting statistics. / Flindt, Christian; Braggio, Alessandro; Novotný, Tomáš.
NOISE AND FLUCTUATIONS: 19TH INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS; ICNF 2007. toim. / Munecazu Tacano; Yoshiharu Yamamoto; Mitsuyuki Nakao. American Institute of Physics, 2007. s. 531-534 (AIP Conference Proceedings ; Vuosikerta 922).

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussa › Conference article in proceedings › Scientific › vertaisarvioitu

TY - GEN

T1 - Non-Markovian dynamics in the theory of full counting statistics

AU - Flindt, Christian

AU - Braggio, Alessandro

AU - Novotný, Tomáš

N1 - Conference code: 19

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - detectors

KW - Full counting statistics

KW - non-Markovian dynamics

UR - https://www.scopus.com/pages/publications/65449127577

U2 - 10.1063/1.2759735

DO - 10.1063/1.2759735

M3 - Conference article in proceedings

AN - SCOPUS:65449127577

SN - 978-0-7354-0432-8

T3 - AIP Conference Proceedings

SP - 531

EP - 534

BT - NOISE AND FLUCTUATIONS: 19TH INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS; ICNF 2007

A2 - Tacano, Munecazu

A2 - Yamamoto, Yoshiharu

A2 - Nakao, Mitsuyuki

PB - American Institute of Physics

T2 - International Conference on Noise and Fluctuations

Y2 - 9 September 2007 through 14 September 2007

ER -

Non-Markovian dynamics in the theory of full counting statistics

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