Hybrid master equation for calorimetric measurements

Brecht Donvil, Paolo Muratore-Ginanneschi, Jukka Pekola

Research output: Contribution to journalArticleScientificpeer-review


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.

Original languageEnglish
Article number042127
JournalPhysical Review A
Issue number4
Number of pages11
Publication statusPublished - 29 Apr 2019
MoE publication typeA1 Journal article-refereed

Fields of Science

  • 111 Mathematics

Cite this