Calorimetric measurement of work for a driven harmonic oscillator

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Calorimetric measurement of work for a driven harmonic oscillator. / Sampaio, Rui; Suomela, Samu; Ala-Nissilä, Tapio.

In: Physical Review E, Vol. 94, No. 6, 062122, 15.12.2016, p. 1-9.

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@article{895ca285b5f946838a01aee9be88d948,
title = "Calorimetric measurement of work for a driven harmonic oscillator",
abstract = "A calorimetric measurement has recently been proposed as a promising technique to measure thermodynamic quantities in a dissipative superconducting qubit. These measurements rely on the fact that the system is projected into energy eigenstates whenever energy is exchanged with the environment. This requirement imposes a restriction on the class of systems that can be measured in this way. Here we extend the calorimetric protocol to the measurement of work in a driven quantum harmonic oscillator. We employ a scheme based on a two-level approximation that makes use of an experimentally accessible quantity and show how it relates to the work obtained through the standard two-measurement protocol. We find that the average work is well approximated in the underdamped regime for short driving times and, in the overdamped regime, for any driving time. However, this approximation fails for the variance and higher moments of work at finite temperatures. Furthermore, we show how to relate the work statistics obtained through this scheme to the work statistics given by the two-measurement protocol.",
author = "Rui Sampaio and Samu Suomela and Tapio Ala-Nissil{\"a}",
year = "2016",
month = "12",
day = "15",
doi = "10.1103/PhysRevE.94.062122",
language = "English",
volume = "94",
pages = "1--9",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "6",

}

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TY - JOUR

T1 - Calorimetric measurement of work for a driven harmonic oscillator

AU - Sampaio, Rui

AU - Suomela, Samu

AU - Ala-Nissilä, Tapio

PY - 2016/12/15

Y1 - 2016/12/15

N2 - A calorimetric measurement has recently been proposed as a promising technique to measure thermodynamic quantities in a dissipative superconducting qubit. These measurements rely on the fact that the system is projected into energy eigenstates whenever energy is exchanged with the environment. This requirement imposes a restriction on the class of systems that can be measured in this way. Here we extend the calorimetric protocol to the measurement of work in a driven quantum harmonic oscillator. We employ a scheme based on a two-level approximation that makes use of an experimentally accessible quantity and show how it relates to the work obtained through the standard two-measurement protocol. We find that the average work is well approximated in the underdamped regime for short driving times and, in the overdamped regime, for any driving time. However, this approximation fails for the variance and higher moments of work at finite temperatures. Furthermore, we show how to relate the work statistics obtained through this scheme to the work statistics given by the two-measurement protocol.

AB - A calorimetric measurement has recently been proposed as a promising technique to measure thermodynamic quantities in a dissipative superconducting qubit. These measurements rely on the fact that the system is projected into energy eigenstates whenever energy is exchanged with the environment. This requirement imposes a restriction on the class of systems that can be measured in this way. Here we extend the calorimetric protocol to the measurement of work in a driven quantum harmonic oscillator. We employ a scheme based on a two-level approximation that makes use of an experimentally accessible quantity and show how it relates to the work obtained through the standard two-measurement protocol. We find that the average work is well approximated in the underdamped regime for short driving times and, in the overdamped regime, for any driving time. However, this approximation fails for the variance and higher moments of work at finite temperatures. Furthermore, we show how to relate the work statistics obtained through this scheme to the work statistics given by the two-measurement protocol.

UR - http://www.scopus.com/inward/record.url?scp=85006168213&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.94.062122

DO - 10.1103/PhysRevE.94.062122

M3 - Article

VL - 94

SP - 1

EP - 9

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 6

M1 - 062122

ER -

ID: 9924280