Detector's quantum backaction effects on a mesoscopic conductor and fluctuation-dissipation relation

Bernardo Spagnolo, Davide Valenti, Bernardo Spagnolo, Giuseppe Falci, Elisabetta Paladino, Luca Magazzù, Thierry Martin

Risultato della ricerca: Article

Abstract

When measuring quantum mechanical properties of charge transport in mesoscopic conductors, backaction effects occur. We consider a measurement setup with an elementary quantum circuit, composed of an inductance and a capacitor, as detector of the current flowing in a nearby quantum point contact. A quantum Langevin equation for the detector variable including backaction effects is derived. Differences with the quantum Langevin equation obtained in linear response are pointed out. In this last case, a relation between fluctuations and dissipation is obtained, provided that an effective temperature of the quantum point contact is defined.
Lingua originaleEnglish
pagine (da-a)1-10
Numero di pagine10
RivistaFortschritte der Physik
Volume65
Stato di pubblicazionePublished - 2017

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dissipation
conductors
detectors
inductance
capacitors
mechanical properties
temperature

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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Detector's quantum backaction effects on a mesoscopic conductor and fluctuation-dissipation relation. / Spagnolo, Bernardo; Valenti, Davide; Spagnolo, Bernardo; Falci, Giuseppe; Paladino, Elisabetta; Magazzù, Luca; Martin, Thierry.

In: Fortschritte der Physik, Vol. 65, 2017, pag. 1-10.

Risultato della ricerca: Article

Spagnolo, Bernardo ; Valenti, Davide ; Spagnolo, Bernardo ; Falci, Giuseppe ; Paladino, Elisabetta ; Magazzù, Luca ; Martin, Thierry. / Detector's quantum backaction effects on a mesoscopic conductor and fluctuation-dissipation relation. In: Fortschritte der Physik. 2017 ; Vol. 65. pagg. 1-10.
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AU - Paladino, Elisabetta

AU - Magazzù, Luca

AU - Martin, Thierry

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AB - When measuring quantum mechanical properties of charge transport in mesoscopic conductors, backaction effects occur. We consider a measurement setup with an elementary quantum circuit, composed of an inductance and a capacitor, as detector of the current flowing in a nearby quantum point contact. A quantum Langevin equation for the detector variable including backaction effects is derived. Differences with the quantum Langevin equation obtained in linear response are pointed out. In this last case, a relation between fluctuations and dissipation is obtained, provided that an effective temperature of the quantum point contact is defined.

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