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Emergence of Non-Markovian Classical-Quantum Dynamics from Decoherence

Curator's Take

This theoretical work provides crucial insight into one of physics' most fundamental questions: whether gravity itself is quantum or classical in nature. The researchers demonstrate that classical-quantum dynamics, where quantum matter interacts with a classical gravitational field, can naturally emerge from fully quantum systems through decoherence processes, making it extremely difficult to experimentally distinguish between truly classical gravity and effectively classical gravity that started quantum. This finding has profound implications for upcoming tabletop experiments designed to test quantum gravity through gravity-mediated entanglement, as positive results supporting classical-quantum models wouldn't necessarily prove gravity is fundamentally classical. The work essentially shows that the universe could be playing an elaborate quantum shell game, where what appears classical might just be quantum dynamics in disguise.

— Mark Eatherly

Summary

The quantum nature of gravity remains experimentally unverified, despite recent proposals to probe it using tabletop experiments such as gravity-mediated entanglement schemes. In parallel, consistent formulations of classical--quantum dynamics have been developed as alternative descriptions of gravity, in which quantum matter interacts with a classical mediator assumed to be fundamentally classical. In this work, we show that classical--quantum dynamics arise generically as an effective description of fully quantum systems under decoherence, providing a bridge between fully quantum and classical--quantum dynamics. We derive the reduced dynamics, which are generically non-Markovian, using an explicit hidden model in which the mediator is coupled to unobserved environmental degrees of freedom. We identify a concrete criterion for when a classical--quantum interpretation is valid: the semi-Wigner operator associated with the mediator sector must remain positive semidefinite, which can be expressed as a positivity condition on nonlocal kernels governing the evolution. In the short-memory limit, the reduced evolution reproduces Markovian classical--quantum dynamics of Oppenheim and collaborators. Our results imply that a classical mediator can arise effectively from decohered quantum dynamics, so that experimental agreement with classical-quantum models does not uniquely determine whether the mediator is fundamentally classical.