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

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

Published Date: April 30, 1996

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.

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