Quantum Signature of Classical Chaos in a Lipkin Model: Sensitivity of Eigenfunctions to Parameter Perturbations

Chin. Phys. Lett.

1996, Vol. 13

Issue (5): 329-332 DOI:

Original Articles

Quantum Signature of Classical Chaos in a Lipkin Model: Sensitivity of Eigenfunctions to Parameter Perturbations

XIE Rui-hua^1,5;XU Gong-ou^1,2,3,4

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

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XIE Rui-hua, XU Gong-ou 1996 Chin. Phys. Lett. 13 329-332

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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.

Keywords: 05.45.+b 03.65.-w

Published: 01 May 1996

PACS:	05.45.+b
	03.65.-w	(Quantum mechanics)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1996/V13/I5/0329

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