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- W4287084090 abstract "A finite quantum system S is coupled to a thermal, bosonic reservoir R. Initial SR states are possibly correlated, obtained by applying a quantum operation taken from a large class, to the uncoupled equilibrium state. We show that the full system-reservoir dynamics is given by a markovian term plus a correlation term, plus a remainder small in the coupling constant $lambda$ uniformly for all times $tge 0$. The correlation term decays polynomially in time, at a speed independent of $lambda$. After this, the markovian term becomes dominant, where the system evolves according to the completely positive, trace-preserving semigroup generated by the Davies generator, while the reservoir stays stationary in equilibrium. This shows that (a) after initial SR correlations decay, the SR dynamics enters a regime where both the Born and Markov approximations are valid, and (b) the reduced system dynamics is markovian for all times, even for correlated SR initial states." @default.
- W4287084090 created "2022-07-25" @default.
- W4287084090 creator A5041335657 @default.
- W4287084090 date "2021-07-06" @default.
- W4287084090 modified "2023-09-29" @default.
- W4287084090 title "Correlation decay and Markovianity in open systems" @default.
- W4287084090 doi "https://doi.org/10.48550/arxiv.2107.02515" @default.
- W4287084090 hasPublicationYear "2021" @default.
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