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arXiv:0707.4376 · Physics Letters A

Characteristics of the wave function of coupled oscillators in semiquantum chaos

Gang Wu, Jinming Dong

Published Jul 1, 2002• 0 citations
arXivHTMLPDF
DOI
10.1016/s0375-9601(02)00756-9

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A semiquantum system, composed of a quantum part coupled to a classical part, can exhibit dynamical chaos in the motion of the quantum state vector. However, there has been disagreement as to whether this mathematical chaos is physically real or merely an artifact of the semiquantum approximation. It is shown, for a model of a quantum spin coupled to an approximately classical nonlinear oscillator, that the semiquantum chaos disappears rapidly as the mass of the oscillator is increased to make it more classical. The time interval during which the semiquantum approximation remains accurate increases with the mass, but is not closely related to the Lyapunov time.