A1 Refereed original research article in a scientific journal
Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
Authors: Breuer HP, Laine EM, Piilo J
Publisher: AMER PHYSICAL SOC
Publication year: 2009
Journal: Physical Review Letters
Journal name in source: PHYSICAL REVIEW LETTERS
Journal acronym: PHYS REV LETT
Article number: ARTN 210401
Volume: 103
Issue: 21
Number of pages: 4
ISSN: 0031-9007
DOI: https://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.
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.