Hybrid master equation for calorimetric measurements

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 modelled by a Floquet master equation under the assumption of drive intensity much larger than the qubit-electron coupling squared. We numerically and analytically inquire 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.

arXiv comment11 pages, 4 figures

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Cited by in corpus (7)

• An exactly solvable model of calorimetric measurements
• Detection of Bidirectional System-Environment Information Exchanges
• A solvable class of non-Markovian quantum multipartite dynamics
• On the unraveling of open quantum dynamics
• Quantum-classical hybrid dynamics: coupling mechanisms and diffusive approximation
• Thermodynamics of autonomous optical Bloch equations
• Apparent Heating due to Imperfect Calorimetric Measurements