Quantum Signature of Classical Chaos in a Lipkin Model: Sensitivity of Eigenfunctions to Parameter Perturbations
XIE Rui-hua1,5, XU Gong-ou1,2,3,4
1Department of Physics, Nanjing University, Nanjing 210008
2Department of Modern Physics, Lanzhou University, Lanzhou 730000
3National Laboratory of Heavy Ion Accelerator, Lanzhou 730000
4Institute of Nuclear Research, Chinese Academy of Sciences, Shanghai 201800
5Natwnal Laboratory of Solid State Microstructure, Nanjing University, Nanjing 210008
Quantum Signature of Classical Chaos in a Lipkin Model: Sensitivity of Eigenfunctions to Parameter Perturbations
XIE Rui-hua1,5;XU Gong-ou1,2,3,4
1Department of Physics, Nanjing University, Nanjing 210008
2Department of Modern Physics, Lanzhou University, Lanzhou 730000
3National Laboratory of Heavy Ion Accelerator, Lanzhou 730000
4Institute of Nuclear Research, Chinese Academy of Sciences, Shanghai 201800
5Natwnal Laboratory of Solid State Microstructure, Nanjing University, Nanjing 210008
Abstract： In this paper, we have studied the properties of eigenfunctions in a three-level Lipkin model whose classical counterpart can exhibit classical chaos. In the regime of classical chaotic motions, sensitivity of eigenfunctions to parameter perturbation is exposed, which may be taken as a quantum signature of classical chaos.
XIE Rui-hua;XU Gong-ou;;. Quantum Signature of Classical Chaos in a Lipkin Model: Sensitivity of Eigenfunctions to Parameter Perturbations[J]. 中国物理快报, 1996, 13(5): 329-332.
XIE Rui-hua, XU Gong-ou, ,. Quantum Signature of Classical Chaos in a Lipkin Model: Sensitivity of Eigenfunctions to Parameter Perturbations. Chin. Phys. Lett., 1996, 13(5): 329-332.
1996, Vol. 13 
