Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
Heinz‐Peter BreuerPhysikalisches Institut, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany. [email protected]Elsi-Mari LaineTurku Center for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turun yliopisto, FinlandJyrki PiiloTurku Center for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turun yliopisto, Finland
2009en
ABI
Annotatsiya
We construct a general measure for the degree of non-Markovian behavior in open quantum systems. This measure is based on the trace distance which quantifies the distinguishability of quantum states. It represents a functional of the dynamical map describing the time evolution of physical states, and can be interpreted in terms of the information flow between the open system and its environment. The measure takes on nonzero values whenever there is a flow of information from the environment back to the open system, which is the key feature of non-Markovian dynamics.
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