Answers to the question how a classical world emerges from underlying quantum physics are revisited, connected and extended as follows. First, three distinct concepts are compared: decoherence in open quantum systems, consistent/decoherent histories and Kolmogorov consistency. Second, the crucial role of quantum Markovianity (defined rigorously) to connect these concepts is established. Third, using a random matrix theory model, quantum effects are shown to be exponentially suppressed in the measurement statistics of slow and coarse observables despite the presence of large amount of coherences. This is also numerically exemplified, and it highlights the potential and importance of non-integrability and chaos for the emergence of classicality.
Cited by 1
Strasberg et al., Classicality, Markovianity, and local detailed balance from pure-state dynamics
Phys. Rev. A 108, 012225 (2023) [Crossref]
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- Agencia Estatal de Investigación
- European Commission [EC]
- European Regional Development Fund [ERDF]
- Generalitat de Catalunya / Government of Catalonia
- Ministerio de Ciencia e Innovación
- Ministerio de Economía y Competitividad (MINECO) (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])
- “la Caixa” Foundation