Revealing memory effects in phase-covariant quantum master equations

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2018-07-01
Major/Subject
Mcode
Degree programme
Language
en
Pages
1-13
Series
New Journal of Physics, Volume 20, issue 7
Abstract
We study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We present these conditions as relations between the time-dependent decay rates for the general open system dynamics and its commutative and unital subclasses. These relations tell directly if the dynamics is non-Markovian w.r.t. each indicator, without the need to explicitly derive and specify the analytic form of the time-dependent coefficients. Moreover, with a shift in perspective, we show that if one assumes only the general form of the master equation, measuring the non-Markovianity indicators gives us directly non-trivial information on the relations between the unknown decay rates.
Description
Keywords
master equation, non-Markovianity, open quantum systems
Citation
Teittinen , J , Lyyra , H , Sokolov , B & Maniscalco , S 2018 , ' Revealing memory effects in phase-covariant quantum master equations ' , New Journal of Physics , vol. 20 , no. 7 , 073012 , pp. 1-13 . https://doi.org/10.1088/1367-2630/aacc38