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 with 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.

arXiv comment10 pages, 5 figures, three appendices

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Cited by in corpus (5)

• Quantifying non-Markovianity due to driving and a finite-size environment in an open quantum system
• Quantum mean-square predictors and thermodynamics
• Work Distributions in 1-D Fermions and Bosons with Dual Contact Interactions
• Calorimetric measurement of work for a driven harmonic oscillator
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