Witnessing non-Markovian dynamics through correlations

Abstract

Non-Markovian effects in an open-system dynamics are usually associated to information backflows from the environment to the system. However, the way these backflows manifest and how to detect them is unclear. A natural approach is to study the backflow in terms of the correlations the evolving system displays with another unperturbed system during the dynamics. In this work, we study the power of this approach to witness non-Markovian dynamics using different correlation measures. We identify simple dynamics where the failure of completely-positive divisibility is in one-to-one correspondence with a correlation backflow. We then focus on specific correlation measures, such as those based on entanglement and the mutual information, and identify their strengths and limitations. We conclude with a study of a recently introduced correlation measures based on state distinguishability and see how, for these measures, adding an extra auxiliary system enlarges the set of detectable non-Markovian dynamics.

arXiv comment31 pages, 7 figures

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Cited by in corpus (12)

• Quantum stochastic processes and quantum non-Markovian phenomena
• Entropic bounds on information backflow
• Quantum non-Markovian environment-to-system backflows of information: non-operational vs. operational approaches
• Equivalence between non-Markovian dynamics and correlation backflows
• On the connection between microscopic description and memory effects in open quantum system dynamics
• Quantifying non-Markovianity via conditional mutual information
• Construction of propagators for divisible dynamical maps
• Quantum non-Markovian "casual bystander" environments
• Ancillary Gaussian modes activate the potential to witness non-Markovianity
• Eternally non-Markovian dynamics of a qubit interacting with a single-photon wavepacket
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