Temperature measurement and phonon number statistics of a nanoelectromechanical resonator

Measuring thermodynamic quantities can be easy or not, depending on the system that is being studied. For a macroscopic object, measuring temperatures can be as simple as measuring how much a column of mercury rises when in contact with the object. At the small scale of quantum electromechanical sys...

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Main Authors: O P de Sá Neto, M C deOliveira, G J Milburn
Format: Article
Language:English
Published: IOP Publishing 2015-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/17/9/093010
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author O P de Sá Neto
M C deOliveira
G J Milburn
author_facet O P de Sá Neto
M C deOliveira
G J Milburn
author_sort O P de Sá Neto
collection DOAJ
description Measuring thermodynamic quantities can be easy or not, depending on the system that is being studied. For a macroscopic object, measuring temperatures can be as simple as measuring how much a column of mercury rises when in contact with the object. At the small scale of quantum electromechanical systems, such simple methods are not available and invariably detection processes disturb the system state. Here we propose a method for measuring the temperature on a suspended semiconductor membrane clamped at both ends. In this method, the membrane is mediating a capacitive coupling between two transmission line resonators (TLR). The first TLR has a strong dispersion, that is, its decaying rate is larger than its drive, and its role is to pump in a pulsed way the interaction between the membrane and the second TLR. By averaging the pulsed measurements of the quadrature of the second TLR we show how the temperature of the membrane can be determined. Moreover the statistical description of the state of the membrane, which is directly accessed in this approach is significantly improved by the addition of a Josephson junction coupled to the second TLR.
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spelling doaj.art-c987432aaaeb4190a586d363179e92db2023-08-08T14:22:40ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117909301010.1088/1367-2630/17/9/093010Temperature measurement and phonon number statistics of a nanoelectromechanical resonatorO P de Sá Neto0M C deOliveira1G J Milburn2Coordenação de Ciência da Computação, Universidade Estadual do Piauí , CEP: 64202220, Parnaíba, Piauí, Brazil; Instituto de Física ‘Gleb Wataghin’, Universidade Estadual de Campinas , 13083–970, Campinas, São Paulo, BrazilInstituto de Física ‘Gleb Wataghin’, Universidade Estadual de Campinas , 13083–970, Campinas, São Paulo, BrazilCentre for Engineered Quantum Systems, School of Mathematics and Physics., University of Queensland , QLD 4072, Brisbane, AustraliaMeasuring thermodynamic quantities can be easy or not, depending on the system that is being studied. For a macroscopic object, measuring temperatures can be as simple as measuring how much a column of mercury rises when in contact with the object. At the small scale of quantum electromechanical systems, such simple methods are not available and invariably detection processes disturb the system state. Here we propose a method for measuring the temperature on a suspended semiconductor membrane clamped at both ends. In this method, the membrane is mediating a capacitive coupling between two transmission line resonators (TLR). The first TLR has a strong dispersion, that is, its decaying rate is larger than its drive, and its role is to pump in a pulsed way the interaction between the membrane and the second TLR. By averaging the pulsed measurements of the quadrature of the second TLR we show how the temperature of the membrane can be determined. Moreover the statistical description of the state of the membrane, which is directly accessed in this approach is significantly improved by the addition of a Josephson junction coupled to the second TLR.https://doi.org/10.1088/1367-2630/17/9/093010quantum statisticselectromechanical resonatorquantum optics
spellingShingle O P de Sá Neto
M C deOliveira
G J Milburn
Temperature measurement and phonon number statistics of a nanoelectromechanical resonator
New Journal of Physics
quantum statistics
electromechanical resonator
quantum optics
title Temperature measurement and phonon number statistics of a nanoelectromechanical resonator
title_full Temperature measurement and phonon number statistics of a nanoelectromechanical resonator
title_fullStr Temperature measurement and phonon number statistics of a nanoelectromechanical resonator
title_full_unstemmed Temperature measurement and phonon number statistics of a nanoelectromechanical resonator
title_short Temperature measurement and phonon number statistics of a nanoelectromechanical resonator
title_sort temperature measurement and phonon number statistics of a nanoelectromechanical resonator
topic quantum statistics
electromechanical resonator
quantum optics
url https://doi.org/10.1088/1367-2630/17/9/093010
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AT mcdeoliveira temperaturemeasurementandphononnumberstatisticsofananoelectromechanicalresonator
AT gjmilburn temperaturemeasurementandphononnumberstatisticsofananoelectromechanicalresonator