中国物理B ›› 1995, Vol. 4 ›› Issue (9): 641-648.doi: 10.1088/1004-423X/4/9/001
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揭泉林1, 徐躬耦2
JIE QUAN-LIN (揭泉林)a, XU GONG-OU (徐躬耦)b
摘要: Numerical results show that, for quantum autonomous chaotic system, the evolution of initially coherent states are sensitive to perturbation. The overlap of a perturbed state with the unperturbed one decays exponentially, which is followed by fluctuation around N-1, N being the dimension of the Hilbert space. The matrix elements of the evolution operator in interaction picture tend to be a random distribution after sufficiently long time, where the interaction is the perturbation, even when the perturbation is very weak. The difference between a regular system and the chaotic one is shown clearly. In a regular system, the overlap shows strong revival. The distribution of the evolution matrix has only a few dominant terms.
中图分类号: (Quantum chaos; semiclassical methods)