SENSITIVITY TO PERTURBATION IN QUANTUM CHAOTIC SYSTEM
JIE QUAN-LIN (揭泉林)a, XU GONG-OU (徐躬耦)b
a Department of Physics, Nanjing University, Nanjing 210008 , China; b Department of physics, Nanjing University, Nanjing 210008 , China; Department of Modern Physics, Lanzhou University, Lanzhou 730000, China
Abstract 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.
Received: 11 November 1994
Accepted manuscript online:
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