Precursors of non-Markovianity

Abstract

Using the paradigm of information backflow to characterize a non-Markovian evolution, we introduce so-called precursors of non-Markovianity, i.e. necessary properties that the system and environment state must exhibit at earlier times in order for an ensuing dynamics to be non-Markovian. In particular, we consider a quantitative framework to assess the role that established system-environment correlations together with changes in environmental states play in an emerging non-Markovian dynamics. By defining the relevant contributions in terms of the Bures distance, which is conveniently expressed by means of the quantum state fidelity, these quantities are well defined and easily applicable to a wide range of physical settings. We exemplify this by studying our precursors of non-Markovianity in discrete and continuous variable non-Markovian collision models.

9 pages, 4 figures. Close to published version

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• Quantum non-Markovian environment-to-system backflows of information: non-operational vs. operational approaches
• Correlations, information backflow, and objectivity in a class of pure dephasing models
• Quantum information scrambling in non-Markovian open quantum systems
• Memory effects in quantum dynamics modelled by quantum renewal processes
• Comparison of Distances and Entropic Distinguishability Quantifiers for the Detection of Memory Effects
• System-bath entanglement of noninteracting fermionic impurities: Equilibrium, transient, and steady-state regimes
• Unified Collision Model of Coherent and Measurement-based Quantum Feedback
• Memory effects in multipartite systems coupled by non-diagonal dephasing mechanisms
• Transient Dynamics and Homogenization in Incoherent Collision Models
• Non-Markovianity in the Adapted Caldeira-Leggett model
• Coherence-Driven Quantum Battery Charging via Autonomous Thermal Machines: Energy Transfer, Memory Effects, and Ergotropy Enhancement
• Divisibility of dynamical maps: Schrödinger vs. Heisenberg picture
• Stability of emergent time periodicity in a few-body interacting system
• Entropy production in non-Markovian collision models: Information backflow vs system-environment correlations
• Expansion of time-convolutionless non-Markovian quantum master equations: A case study using the Fano-Anderson model
• Superactivation of memory effects in a classical Markov environment