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Researchers from The University of Tokyo have derived exact mathematical conditions under which classical behavior emerges strictly from quantum mechanics via environmental collisions. This work establishes a new inequality linking momentum changes to potential shape that guarantees the positivity of Wigner functions, offering precise bounds on heating rates for levitated nanoparticles without relying on approximations or vanishing Planck's constants.

Sources coveringQuantum Zeitgeist, LessWrong, Google DeepMind

Researchers Bound Environmental Kicks, Linking Them to Classicality

Quantum ZeitgeistNovember 4, 20264 min read

Balancing momentum jumps with negative quantum effects offers an exact emergence of classicality, unlike previous approximations requiring timescale restrictions or vanishing Planck’s constants. This work establishes concrete conditions, an inequality relating environmental ‘kicks’ to potential shape, under which strictly classical behaviour arises from quantum mechanics. Demonstrating this alternative notion opens new avenues for testing fundamental limits on heating rates using levitated nanoparticles.

Classical behaviours emerge exactly from quantum theory when environmental interactions happen through collisions; a relationship links momentum changes caused by the environment to the Fourier transform of the potential. This determines whether Wigner functions, which reveal quantum effects as negative regions, stay positive or become negative. Violating this inequality guarantees negativity within these functions and sets a lower bound on how quickly a system…

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