### 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.

Original language | English |
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Article number | 042127 |

Journal | Physical Review A |

Volume | 99 |

Issue number | 4 |

Number of pages | 11 |

ISSN | 2469-9926 |

DOIs | |

Publication status | Published - 29 Apr 2019 |

MoE publication type | A1 Journal article-refereed |

### Fields of Science

- 111 Mathematics

## Cite this

*Physical Review A*,

*99*(4), [042127]. https://doi.org/10.1103/PhysRevA.99.042127