Analytical studies of Spectrum Broadcast Structures in Quantum Brownian Motion

Abstract

Spectrum Broadcast Structures are a new and fresh concept in the quantum-to-classical transition, introduced recently in the context of decoherence and the appearance of objective features in quantum mechanics. These are specific quantum state structures, responsible for an apparent objectivity of a decohered state of a system. Recently they have been shown to appear in the well known Quantum Brownian Motion model, however the final analysis relied on numerics. Here, after a presentation of the main concepts, we perform analytical studies of the model, showing the timescales and the efficiency of the spectrum broadcast structure formation. We consider a massive central system and a somewhat simplified environment being random with a uniform distribution of the frequencies.

23 pages

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• Generic emergence of objectivity of observables in infinite dimensions
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• Decoherence of spin registers revisited
• Universal structure of objective states in all fundamental causal theories
• Refined diamond norm bounds on the emergence of objectivity of observables
• Complementarity between decoherence and information retrieval from the environment
• Quantum measurements and equilibration: the emergence of objective outcomes via entropy maximisation