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

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 [Breuer \text...

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Bibliographic Details
Published in:arXiv.org 2016-12
Main Authors: Sampaio, Rui, Suomela, Samu, Schmidt, Rebecca, Ala-Nissila, Tapio
Format: Article
Language:English
Subjects:
Amplitudes
Coupling
Dependence
Environmental effects
Markov processes
Quantum theory
Qubits (quantum computing)
Online Access:Get full text
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Summary: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 [Breuer \textit{et al.}, Phys. Rev. Lett. \textbf{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.
ISSN:2331-8422
DOI:10.48550/arxiv.1612.02292