Classicality with(out) decoherence: Concepts, relation to Markovianity, and a random matrix theory approach

Abstract

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.

Final version

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Cited by in corpus (12)

• Classicality, Markovianity and local detailed balance from pure state dynamics
• First Principles Numerical Demonstration of Emergent Decoherent Histories
• Objectivity of classical quantum stochastic processes
• Decoherence of Histories: Chaotic Versus Integrable Systems
• Double or nothing: a Kolmogorov extension theorem for multitime (bi)probabilities in quantum mechanics
• Quantum state smoothing cannot be assumed classical even when the filtering and retrofiltering are classical
• Non-Markovianity in the Adapted Caldeira-Leggett model
• Emergence of non-Markovian Decoherent Histories in Integrable Environment: A "Tape Recorder" Model for Local Quantum Observables
• Temporal nonclassicality in continuous-time quantum walks
• Quantum state smoothing when Alice assumes the wrong type of monitoring by Bob
• Toy Model Challenging Prevailing Definitions of Classicality
• Phenomenological quantum mechanics: I. Phenomenology of quantum observables