Quantifying non-Markovianity due to driving and a finite-size environment in an open quantum system

Rui Ferreira Sampaio; Samu Suomela; Rebecca Schmidt; Tapio Ala-Nissilä

doi:10.1103/PhysRevA.95.022120

Quantifying non-Markovianity due to driving and a finite-size environment in an open quantum system

Rui Ferreira Sampaio
, Samu Suomela
, Rebecca Schmidt
, Tapio Ala-Nissilä

Research output: Contribution to journal › Article › Scientific › peer-review

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Abstract

We study non-Markovian effects present in a driven qubit coupled to a finite environment using a recently proposed model developed in the context of calorimetric measurements of open quantum systems. To quantify the degree of non-Markovianity we use the Breuer-Laine-Piilo (BLP) measure [H.-P. Breuer, Phys. Rev. Lett. 103, 210401 (2009)]. We show that information backflow only occurs in the case of driving, in which case we investigate the dependence of memory effects on the environment size, driving amplitude, and coupling to the environment. We show that the degree of non-Markovianity strongly depends on the ratio between the driving amplitude and the coupling strength. We also show that the degree of non-Markovianity does not decrease monotonically as a function of the environment size.

Original language	English
Article number	022120
Pages (from-to)	1-7
Number of pages	7
Journal	Physical Review A
Volume	95
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.95.022120
Publication status	Published - 21 Feb 2017
MoE publication type	A1 Journal article-refereed

Funding

We thank Jyrki Piilo for fruitful discussions. We gratefully acknowledge financial support from the Academy of Finland through project number 287750, the Centers of Excellence Programme (2015-2017) under project numbers 251748 and 284621, and the Centre of Quantum Engineering at Aalto University School of Science. S.S. acknowledges financial support from the Vaisala foundation. The numerical calculations were performed using computer resources of the Aalto University School of Science "Science-IT" project.

Keywords

THERMODYNAMICS

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PhysRevA.95.022120Final published version, 3.13 MB

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Cite this

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Quantifying non-Markovianity due to driving and a finite-size environment in an open quantum system

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