Correlations, information backflow, and objectivity in a class of pure dephasing models

Abstract

We critically examine the role that correlations established between a system and fragments of its environment play in characterising the ensuing dynamics. We employ a class of dephasing models where the state of the initial environment represents a tunable degree of freedom that qualitatively and quantitatively affects the correlation profiles, but nevertheless results in the same reduced dynamics for the system. We apply recently developed tools for the characterisation of non-Markovianity to carefully assess the role that correlations, as quantified by the (quantum) Jensen-Shannon divergence and relative entropy, as well as changes in the environmental state, play in whether the conditions for classical objectivity within the quantum Darwinism paradigm are met. We demonstrate that for precisely the same non-Markovian reduced dynamics of the system arising from different microscopic models, some will exhibit quantum Darwinistic features, while others show no meaningful notion of classical objectivity is present. Furthermore, our results highlight that the non-Markovian nature of an environment does not a priori prevent a system from redundantly proliferating relevant information, but rather it is the system's ability to establish the requisite correlations that is the crucial factor in the manifestation of classical objectivity.

arXiv comment11 pages, 7 figures

References in corpus (49)

• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Non-Markovian dynamics in open quantum systems
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Open Quantum Systems. An Introduction
• Concepts and methods in the theory of open quantum systems
• Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
• Quantum Darwinism
• Measure for the Non-Markovianity of Quantum Processes
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Operational Markov condition for quantum processes
• Non-perturbative treatment of non-Markovian dynamics of open quantum systems
• Markovian and non-Markovian dynamics in quantum and classical systems
• Efficient simulation of finite-temperature open quantum systems
• Universal Markovian reduction of Brownian particle dynamics
• Witness for initial system-environment correlations in open system dynamics
• Demonstration of non-Markovian process characterisation and control on a quantum processor
• Quantum origins of objectivity
• System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
• Quantum Darwinism in a hazy environment
• Objectivity in the Photonic Environment Through State Information Broadcasting
• The Rise and Fall of Redundancy in Decoherence and Quantum Darwinism
• Revealing the emergence of classicality in nitrogen-vacancy centers
• Quantum Darwinism in non-ideal environments
• Strong Quantum Darwinism and Strong Independence is equivalent to Spectrum Broadcast Structure
• Experimental implementation of fully controlled dephasing dynamics and synthetic spectral densities
• Experimental signature of Quantum Darwinism in photonic cluster states
• The metric property of the quantum Jensen-Shannon divergence
• Roads to objectivity: Quantum Darwinism, Spectrum Broadcast Structures, and Strong quantum Darwinism -- a review
• Eavesdropping on the Decohering Environment: Quantum Darwinism, Amplification, and the Origin of Objective Classical Reality
• Application of quantum Darwinism to a structured environment
• Non-Markovianity hinders Quantum Darwinism
• The role of information back-flow in the emergence of quantum Darwinism
• Collisional unfolding of quantum Darwinism
• Objectivity in non-Markovian spin-boson model
• Experimental investigation of the effect of classical noise on quantum non-Markovian dynamics
• Precursors of non-Markovianity
• Experimental characterisation of a non-Markovian quantum process
• Entropic bounds on information backflow
• Decoherence without entanglement and Quantum Darwinism
• Quantum Darwinism and non-Markovian dissipative dynamics from quantum phases of the spin-1/2 XX model
• Objectivity (or lack there of): a comparison between predictions of quantum Darwinism and spectrum broadcast structure
• Quantum Darwinism in a structured spin environment
• Entanglement and objectivity in pure dephasing models
• Quantum Darwinism in a composite system: Objectivity versus classicality
• Holevo skew divergence for the characterization of information backflow
• On the connection between microscopic description and memory effects in open quantum system dynamics
• Non-Markovianity by undersampling in quantum optical simulators
• Experimental Snapshot Verification of non-Markovianity with Unknown System-Probe Coupling
• Suppressing information storage in a structured thermal bath: Objectivity and non-Markovianity

Cited by in corpus (9)

• Quantum regression in dephasing phenomena
• Causal and Non-Causal Revivals of Information: A New Regime of Non-Markovianity in Quantum Stochastic Processes
• The importance of using the averaged mutual information when quantifying quantum objectivity
• The meaning of redundancy and consensus in quantum objectivity
• System-bath entanglement of noninteracting fermionic impurities: Equilibrium, transient, and steady-state regimes
• System-environment quantum information flow
• Non-Markovianity in the Adapted Caldeira-Leggett model
• On the relation between quantum Darwinism and approximate quantum Markovianity
• Commutativity and the emergence of classical objectivity