Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems

2009/08/31 by Heinz-Peter Breuer, Elsi-Mari Laine, Jyrki Piilo · 6 citations
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.103.210401

published as Phys. Rev. Lett. 103, 210401 (2009) · 4 pages, 2 figures, published version

arxiv created 2010/01/05 · arxiv updated 2010/01/07

Abstract

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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