The Spatiotemporal Evolution of Wave Packets under Chaotic Condition |
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Authors: | LIU Fang LI Jun-Qing LUO Yi-Xiao XU Gong-Ou ZUO Wei |
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Institution: | 1. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China
;2. Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China
;3. Department of Physics, Nanjing University, Nanjing 210008, China |
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Abstract: | Using the minimum uncertainty state of quantum integrable system H0 as initial state, the spatiotemporal evolution of the wave packet under
the action of perturbed Hamiltonian is studied causally as in classical mechanics. Due to the existence of the avoided energy level crossing in the spectrum there exist nonlinear resonances between some pairs of neighboring components of the wave packet, the deterministic dynamical evolution becomes very complicated and appears to be chaotic. It is proposed to use expectation values for the whole
set of basic dynamical variables and the corresponding spreading widths to describe the topological features concisely such that the quantum chaotic motion can be studied in contrast with the quantum regular motion and well characterized with the asymptotic behaviors. It has been demonstrated with numerical results that such a wave packet has indeed quantum behaviors
of ergodicity as in corresponding classical case. |
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