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Comparison between quantum jumps and master equation in the presence of a finite environment

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posted on 19.01.2018 by Samu Suomela, Rui Sampaio, Tapio 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.

Funding

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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review E

Volume

94

Issue

3

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.

Publisher

© American Physical Society

Version

AM (Accepted Manuscript)

Publisher statement

This 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/

Publication date

2016-09-30

Notes

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

ISSN

2470-0045

eISSN

2470-0053

Language

en

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