Comparison between quantum jumps and master equation in the presence of a finite environment
journal contributionposted on 2018-01-19, 11:22 authored by Samu Suomela, Rui Sampaio, Tapio Ala-NissilaTapio Ala-Nissila
© 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.
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.
- Mathematical Sciences
Published inPhysical Review E
CitationSUOMELA, 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.
Publisher© American Physical Society
- AM (Accepted Manuscript)
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
NotesThis 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