期刊
PHYSICAL REVIEW A
卷 97, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.97.052107
关键词
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资金
- DOMAST
- Centre of Excellence in Analysis and Dynamics of the Academy of Finland [271983]
- Academy of Finland [312057]
- European Union's Horizon research and innovation programme under the European Research Council (ERC) programme [742559]
- Academy of Finland (AKA) [271983, 312057, 312057, 271983] Funding Source: Academy of Finland (AKA)
We investigate the experimental setup proposed in New J. Phys. 15, 115006 (2013) for calorimetric measurements of thermodynamic indicators in an open quantum system. As a theoretical model we consider a periodically driven qubit coupled with a large yet finite electron reservoir, the calorimeter. The calorimeter is initially at equilibrium with an infinite phonon bath. As time elapses, the temperature of the calorimeter varies in consequence of energy exchanges with the qubit and the phonon bath. We show how under weak-coupling assumptions, the evolution of the qubit-calorimeter system can be described by a generalized quantum jump process including as dynamical variable the temperature of the calorimeter. We study the jump process by numeric and analytic methods. Asymptotically with the duration of the drive, the qubit-calorimeter attains a steady state. In this same limit, we use multiscale perturbation theory to derive a Fokker-Planck equation governing the calorimeter temperature distribution. We inquire the properties of the temperature probability distribution close and at the steady state. In particular, we predict the behavior of measurable statistical indicators versus the qubit-calorimeter coupling constant.
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