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Acta Physica Sinica (Overseas Edition), 1995, Vol. 4(9): 641-648    DOI: 10.1088/1004-423X/4/9/001
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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: 
PACS:  05.45.Mt (Quantum chaos; semiclassical methods)  
  03.65.Fd (Algebraic methods)  
  03.65.Vf (Phases: geometric; dynamic or topological)  
  05.45.Pq (Numerical simulations of chaotic systems)  
  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
Fund: Project supported by the National Basic Research Project "Nonlinear Science" of China and by the National Natural Science Foundation of China.

Cite this article: 

JIE QUAN-LIN (揭泉林), XU GONG-OU (徐躬耦) SENSITIVITY TO PERTURBATION IN QUANTUM CHAOTIC SYSTEM 1995 Acta Physica Sinica (Overseas Edition) 4 641

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