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Abstract
We investigate the experimental setup proposed in New J. Phys. 15, 115006 (2013)NJOPFM1367263010.1088/13672630/15/11/115006 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 weakcoupling assumptions, the evolution of the qubitcalorimeter 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 qubitcalorimeter attains a steady state. In this same limit, we use multiscale perturbation theory to derive a FokkerPlanck 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 qubitcalorimeter coupling constant.
Original language  English 

Article number  052107 
Pages (fromto)  115 
Journal  Physical Review A 
Volume  97 
Issue number  5 
DOIs  
Publication status  Published  8 May 2018 
MoE publication type  A1 Journal articlerefereed 
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Gubaydullin, A., Peltonen, J., Pekola, J., Thomas, G., Marin Suarez, M., Singh, S., Subero Rengel, D., Blanchet, F., Chang, Y., Mannila, E., Lvov, D., Karimi, B., Mäkinen, I., Senior, J. & Wang, L.
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Project: EU: ERC grants

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Project: Academy of Finland: Other research funding