Revealing memory effects in phase-covariant quantum master equations

J. Teittinen, H. Lyyra, B. Sokolov, S. Maniscalco

Research output: Contribution to journalArticleScientificpeer-review

22 Citations (Scopus)
249 Downloads (Pure)


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.

Original languageEnglish
Article number073012
Pages (from-to)1-13
JournalNew Journal of Physics
Issue number7
Publication statusPublished - 1 Jul 2018
MoE publication typeA1 Journal article-refereed


  • master equation
  • non-Markovianity
  • open quantum systems


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