Hybrid master equation for calorimetric measurements

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2019-04-29
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Mcode
Degree programme
Language
en
Pages
1-11
Series
Physical Review A, Volume 99, issue 4
Abstract
Ongoing experimental activity aims at calorimetric measurements of thermodynamic indicators of quantum integrated systems. We study a model of a driven qubit in contact with a finite-size thermal electron reservoir. The temperature of the reservoir changes due to energy exchanges with the qubit and an infinite-size phonon bath. Under the assumption of weak coupling and weak driving, we model the evolution of the qubit-electron temperature as a hybrid master equation for the density matrix of the qubit at different temperatures of the calorimeter. We compare the temperature evolution with an earlier treatment of the qubit-electron model, where the dynamics were modeled by a Floquet master equation under the assumption of drive intensity much larger than the qubit-electron coupling squared. We numerically and analytically investigate the predictions of the two mathematical models of dynamics in the weak-drive parametric region. We numerically determine the parametric regions where the two models of dynamics give distinct temperature predictions and those where their predictions match.
Description
| openaire: EC/H2020/742559/EU//SQH
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Citation
Donvil , B , Muratore-Ginanneschi , P & Pekola , J P 2019 , ' Hybrid master equation for calorimetric measurements ' , Physical Review A , vol. 99 , no. 4 , 042127 , pp. 1-11 . https://doi.org/10.1103/PhysRevA.99.042127