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Title: Comparison between quantum jumps and master equation in the presence of a finite environment
Authors: Suomela, Samu
Sampaio, Rui
Ala-Nissila, Tapio
Issue Date: 2016
Publisher: © American Physical Society
Citation: SUOMELA, S., SAMPAIO, R. and ALA-NISSILA, T., 2016. Comparison between quantum jumps and master equation in the presence of a finite environment. Physical Review E, 94: 032138.
Abstract: © 2016 American Physical Society. We study the equivalence between the recently proposed finite environment quantum jump model and a master equation approach. We derive microscopically the master equation for a qubit coupled to a finite bosonic environment and show that the master equation is equivalent to the finite environment quantum jump model. We analytically show that both the methods produce the same moments of work when the work is defined through the two-measurement protocol excluding the interaction energy. However, when compared to the work moments computed using the power operator approach, we find a difference in the form of the work moments. To numerically verify our results, we study a qubit coupled to an environment consisting of ten two-level systems.
Description: This paper was accepted for publication in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.94.032138
Sponsor: This work was supported in part by the Vaisala foundation and the Academy of Finland through its Centres of Excellence Programme (2015-2017) under project numbers 251748 and 284621.
Version: Accepted for publication
DOI: 10.1103/PhysRevE.94.032138
URI: https://dspace.lboro.ac.uk/2134/28181
Publisher Link: https://doi.org/10.1103/PhysRevE.94.032138
ISSN: 2470-0045
Appears in Collections:Published Articles (Maths)

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