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Classical-Quantum Hybrid Models

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arxiv 2309.05014 v3 pith:2S4LMVS3 submitted 2023-09-10 quant-ph gr-qc

classification quant-phgr-qc
keywords modelsclassical-quantumhybridschemesassociatedclassicallycomputationaldegrees
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Hybrid classical-quantum models are computational schemes that investigate the time evolution of systems, where some degrees of freedom are treated classically, while others are described quantum-mechanically. First, we present the motivation for such models, outline the requirements they must satisfy, and provide explanations for their development. Then we review various popular non-relativistic schemes and their associated limitations, with a particular emphasis on reversible dynamics.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Consequences of a dynamical no-signaling condition for classical-quantum interactions

    quant-ph 2026-08 accept novelty 6.0 of 10

    A dynamical no-signaling condition for classical-quantum systems is equivalent to convex-linearity of evolution and forbids back-reaction on classical trajectories, back-reaction on pure quantum states, and interactio...

  2. Structure and statistical properties of the semiclassical Einstein equations

    gr-qc 2024-12 conditional novelty 6.0 of 10

    Two standard derivations of semiclassical gravity are equivalent as partial classical limits, so the equation predicts only the expectation value of the Einstein tensor.

  3. The Gravito-Phononic Effect: A Quantum Signature of Linearised Gravity

    quant-ph 2024-11 conditional novelty 3.0 of 10

    A coupled-oscillator model reproduces photoelectric signatures and is used to argue that discrete resonant energy transfer from gravitational waves to acoustic detectors would signal graviton quantization.

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