A1 Refereed original research article in a scientific journal

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




AuthorsBreuer HP, Laine EM, Piilo J

PublisherAMER PHYSICAL SOC

Publication year2009

JournalPhysical Review Letters

Journal name in sourcePHYSICAL REVIEW LETTERS

Journal acronymPHYS REV LETT

Article numberARTN 210401

Volume103

Issue21

Number of pages4

ISSN0031-9007

DOIhttps://doi.org/10.1103/PhysRevLett.103.210401


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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