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Quantum breaking time near classical equilibrium points

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arxiv quant-ph/0201147 v1 pith:CZUI5AEZ submitted 2002-01-31 quant-ph

classification quant-ph
keywords equilibriumpointstimebreakingclassicalehrenfestnearpoint
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By using numerical and semiclassical methods, we evaluate the quantum breaking, or Ehrenfest time for a wave packet localized around classical equilibrium points of autonomous one-dimensional systems with polynomial potentials. We find that the Ehrenfest time diverges logarithmically with the inverse of the Planck constant whenever the equilibrium point is exponentially unstable. For stable equilibrium points, we have a power law divergence with exponent determined by the degree of the potential near the equilibrium point.

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  1. Quantum break in models of axion dark matter

    hep-ph 2019-08 conditional novelty 6.0 of 10

    A modified mean-field analysis predicts that axion dark matter can undergo a quantum break into photon pairs, with multi-mode synchronization counteracting red-shift detuning.

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