Quantum Chaos of a Kicked Particle in an Infinite Potential Well
Bambi HuDepartment of Physics and Centre for Nonlinear Studies, Hong Kong Baptist University, Hong Kong, ChinaBaowen LiDepartment of Physics and Centre for Nonlinear Studies, Hong Kong Baptist University, Hong Kong, ChinaJie LiuDepartment of Physics and Centre for Nonlinear Studies, Hong Kong Baptist University, Hong Kong, ChinaYan GuCenter for Fundamental Physics, University of Science and Technology of China, Hefei, China
1999en
ABI
Annotatsiya
We study quantum chaos in a non-KAM system exemplified by a particle in an infinite potential well subject to a periodic kicking force. For a small perturbation $K$, the classical phase space displays a stochastic web structure, and the diffusion coefficient scales as $D\ensuremath{\propto}{K}^{2.5}$. However, in the large $K$ regime, $D\ensuremath{\propto}{K}^{2}$. Quantum mechanically, we observe that the level spacing statistics of the quasieigenenergies changes from Poisson to Wigner distribution as $K$ increases. The quasieigenstates are power-law localized for small $K$ and extended for large $K$. Possible experimental realization of this model is also discussed.
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