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Q: Fachverband Quantenoptik und Photonik

Q 33: Open Quantum Systems

Q 33.6: Talk

Wednesday, March 13, 2024, 15:45–16:00, HS 1199

non-Markovian processes might behave like Markov processes — •bilal cantürk and heinz-peter breuer — Institute of Physics, University of Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany

The Chapman-Kolmogorov equation is generally considered to be the main characteristic of Markov processes. However, we have shown by construction that there are also non-Markovian processes that satisfy the Chapman-Kolmogorov equation. This evidence allows us to further clarify the distinction between Markov and non-Markovian processes in both classical and quantum systems. In addition, our results allow us to construct some specific non-Markovian processes, called P-divisible processes.

Keywords: Markov processes; non-Markovian processes; memory; quantum operations; quantum non-Markovian