An extended geometric criterion for chaos in the Dicke model

作者:Li Jiangdan*; Zhang Suying
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(12): 125105.
DOI:10.1088/1751-8113/43/12/125105

摘要

We extend HBLSL's (Horwitz, Ben Zion, Lewkowicz, Schiffer and Levitan) new Riemannian geometric criterion for chaotic motion to Hamiltonian systems of weak coupling of potential and momenta by defining the 'mean unstable ratio'. We discuss the Dicke model of an unstable Hamiltonian system in detail and show that our results are in good agreement with that of the computation of Lyapunov characteristic exponents.