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Calorimetric measurement of work for a driven harmonic oscillator

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posted on 19.01.2018, 10:53 authored by Rui Sampaio, Samu Suomela, Tapio Ala-NissilaTapio Ala-Nissila
© 2016 American Physical Society. 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.

Funding

This work was support by the Academy of Finland through its Centers of Excellence Programme (2015–2017) under project numbers 251748 and 284621. S.S. acknowledges financial support from the Vaisala Foundation.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review E

Volume

94

Issue

6

Citation

SAMPAIO, R., SUOMELA, S. and ALA-NISSILA, T., 2016. Calorimetric measurement of work for a driven harmonic oscillator. Physical Review E, 94: 062122.

Publisher

© American Physical Society

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2016-12-15

Notes

This paper was accepted for publication in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.94.062122

ISSN

2470-0045

eISSN

2470-0053

Language

en

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