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arXiv:quant-ph/0503190

Decoherence in non integrable systems

Mario Castagnino

Published Mar 23, 2005• 0 citations
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Abstract

Self-induced decoherence formalism and the corresponding classical limit are extended from quantum integrable systems to non-integrable ones.
DOI
10.48550/arxiv.quant-ph/0503190

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In this paper we argue that the emergence of the classical world from the underlying quantum reality involves two elements: self-induced decoherence and macroscopicity. Self-induced decoherence does not require the openness of the system and its interaction with the environment: a single closed system can decohere when its Hamiltonian has continuous spectrum. We show that, if the system is macroscopic enough, after self-induced decoherence it can be described as an ensemble of classical distributions weighted by their corresponding probabilities. We also argue that classicality is an emergent property that arises when the behavior of the system is described from an observational perspective.