Fixing semi-classical physics from first principles: how to derive effective classical-quantum dynamics from open quantum theory

• URL: http://arxiv.org/abs/2604.08024v1
• Date: Thu, 09 Apr 2026 09:25:12 GMT
• Title: Fixing semi-classical physics from first principles: how to derive effective classical-quantum dynamics from open quantum theory
• Abstract summary: We use a toy model to highlight the failings of the standard mean-field semi-classical approach.<n>We show how consistent models of classical-quantum dynamics can arise as effective descriptions of open quantum systems.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Semi-classical approaches approximate fully quantum descriptions with partially classical ones. Here we use a toy model to highlight the failings of the standard mean-field semi-classical approach, and show how including environmental decoherence can lead to improved semi-classical theories that are exact descriptions of the original quantum dynamics. In doing so, we show how consistent models of classical-quantum dynamics can arise as effective descriptions of open quantum systems.

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