Causal Emergence in Quantum Mechanics

Abstract

Causal emergence is brought about when a coarse-grained description of a physical system is more effective (more deterministic and/or less degenerate) than the fine-grained corresponding model. We show, for the first time to our knowledge, a causal emergence in a quantum system: a atomic Mach-Zehnder interferometer with two which-path detectors. The atomic wave-like or particle-like descriptions are related, respectively, to coarse-grained and fine-grained models. The predictions of the atomic position after the passage through the interferometer when the to coarse-grained description is considered are more effective than the corresponding fine-grained model. We conclude that quantum eraser measurements yields the causal emergence in this system.

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