Pointer states and quantum Darwinism with 2-body interactions

Abstract

Quantum Darwinism explains the emergence of classical objectivity within a quantum universe. However, to date most research in quantum Darwinism has focused on specific models and their stationary properties. To further our understanding of the quantum-to-classical transition it appears desirable to identify the general criteria a Hamiltonian has to fulfill to support classical reality. To this end, we categorize all models with 2-body interactions, and we show that only those with separable interaction of system and environment can support a pointer basis. We further show that "perfect" quantum Darwinism can only emerge if there are no intra-environmental interactions. Our analysis is complemented by the solution of the ensuing dynamics. We find that in systems that exhibit information scrambling, the dynamical emergence of classical objectivity is in direct competition with the non-local spread of quantum correlations. Our rigorous findings are illustrated with the numerical analysis of four representative models.

arXiv comment9 pages, 3 figures

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• Classifying two-body Hamiltonians for Quantum Darwinism
• Observation of Quantum Darwinism and the Origin of Classicality with Superconducting Circuits
• Compatibility of Quantum Measurements and the Emergence of Classical Objectivity
• Quantum measurements and equilibration: the emergence of objective outcomes via entropy maximisation
• System-environment quantum information flow
• Quantum Darwinism-encoding transitions on expanding trees
• Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach
• Metrological approach to the emergence of classical objectivity