Revealing memory effects in phase-covariant quantum master equations



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

Publisher: IOP PUBLISHING LTD

: 2018

: New Journal of Physics

: NEW JOURNAL OF PHYSICS

: NEW J PHYS

: ARTN 073012

: 20

: 13

: 1367-2630

DOI: https://doi.org/10.1088/1367-2630/aacc38

: https://research.utu.fi/converis/portal/detail/Publication/32174185


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.

Last updated on 2024-26-11 at 13:01