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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 finitesize thermal electron reservoir. The temperature of the reservoir changes due to energy exchanges with the qubit and an infinitesize phonon bath. Under the assumption of weak coupling and weak driving, we model the evolution of the qubitelectron 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 qubitelectron model, where the dynamics were modeled by a Floquet master equation under the assumption of drive intensity much larger than the qubitelectron coupling squared. We numerically and analytically investigate the predictions of the two mathematical models of dynamics in the weakdrive parametric region. We numerically determine the parametric regions where the two models of dynamics give distinct temperature predictions and those where their predictions match.
Original language  English 

Article number  042127 
Pages (fromto)  111 
Number of pages  11 
Journal  Physical Review A 
Volume  99 
Issue number  4 
DOIs  
Publication status  Published  29 Apr 2019 
MoE publication type  A1 Journal articlerefereed 
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Dive into the research topics of 'Hybrid master equation for calorimetric measurements'. Together they form a unique fingerprint.Projects
 2 Finished

QTF: Finnish Centre of Excellence in Quantum Technology
Pekola, J., Blanchet, F., Golubev, D., Maillet, O., Marín Suárez, M., Mannila, E. & Senior, J.
01/01/2018 → 31/12/2020
Project: Academy of Finland: Other research funding

SQH: Superconducting quantum heat engines and refrigerators
Pekola, J., Karimi, B., Singh, S., Blanchet, F., Peltonen, J., Subero Rengel, D., Upadhyay, R., Gubaydullin, A., Wang, L., Chang, Y., Mäkinen, I., Marín Suárez, M., Thomas, G., Lvov, D., Mannila, E., Senior, J., Strelnikov, A., Chiang, K., Lemziakov, S., Satrya, C., Chen, Z., Serrati, E. & Praks, E.
27/09/2017 → 30/09/2023
Project: EU: ERC grants