Model for calorimetric measurements in an open quantum system

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Donvil , B , Muratore-Ginanneschi , P , Pekola , J & Schwieger , K 2018 , ' Model for calorimetric measurements in an open quantum system ' , Physical Review A , vol. 97 , no. 5 , 052107 .

Title: Model for calorimetric measurements in an open quantum system
Author: Donvil, Brecht; Muratore-Ginanneschi, Paolo; Pekola, Jukka; Schwieger, Kay
Contributor organization: Department of Mathematics and Statistics
Mathematical physics
Date: 2018-05-08
Language: eng
Number of pages: 15
Belongs to series: Physical Review A
ISSN: 2469-9926
Abstract: 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 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.
Subject: 111 Mathematics
Peer reviewed: Yes
Rights: cc_by_nc_sa
Usage restriction: openAccess
Self-archived version: publishedVersion

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