Quantum dynamics and breakdown of classical realism in nonlinear oscillators

Details Quantum dynamics and breakdown of classical realism in nonlinear oscillators Quantum dynamics and breakdown of classical realism in nonlinear oscillators

2007-02-20

arxiv.org/abs/quant-ph/0702191v1

Physics

Quantum Physics

RevTeX 4 pages, no figures

Scientific paper

10.1088/1751-8113/40/39/F01

The dynamics of a quantum nonlinear oscillator is studied in terms of its quasi-flow, a dynamical mapping of the classical phase plane that represents the time-evolution of the quantum observables. Explicit expressions are derived for the deformation of the classical flow by the quantum nonlinearity in the semiclassical limit. The breakdown of the classical trajectories under the quantum nonlinear dynamics is quantified by the mismatch of the quasi-flow carried by different observables. It is shown that the failure of classical realism can give rise to a dynamical violation of Bell's inequalities.

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