title: Comparison between quantum jumps and master equation in the presence of a finite environment.
abstract: 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.
authors.affiliation: Department of Applied Physics and COMP Centre of Excellence, Aalto University School of Science, P.O. Box 11100, 00076 Aalto, Finland.
authors.forename: S
authors.initials: S
authors.lastname: Suomela
authors.affiliation: Department of Applied Physics and COMP Centre of Excellence, Aalto University School of Science, P.O. Box 11100, 00076 Aalto, Finland.
authors.forename: R
authors.initials: R
authors.lastname: Sampaio
authors.affiliation: Department of Applied Physics and COMP Centre of Excellence, Aalto University School of Science, P.O. Box 11100, 00076 Aalto, Finland.|Department of Physics, P.O. Box 1843, Brown University, Providence, Rhode Island 02912-1843, USA.
authors.forename: T
authors.initials: T
authors.lastname: Ala-Nissila