Higuchi Hisashi, Takatsuka Kazuo
Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3 Pt 2A):035203. doi: 10.1103/PhysRevE.66.035203. Epub 2002 Sep 24.
The effect of nonadiabatic coupling due to breakdown of the Born-Oppenheimer approximation on chaos is investigated. A couple of measures (indicators) that detect the extent of chaos in wave-packet dynamics on coupled potential functions are devised. Using them, we show that chaos is indeed induced by a nonadiabatic coupling in individual time-dependent wave-packet dynamics. This chaos is genuinely of quantum nature, since it arises from bifurcation and merging of a wave packet at the quasicrossing region of two coupled potential functions.
研究了由于玻恩-奥本海默近似的失效导致的非绝热耦合对混沌的影响。设计了几种用于检测耦合势函数上波包动力学中混沌程度的度量（指标）。利用这些指标，我们表明在单个含时波包动力学中，混沌确实是由非绝热耦合诱导产生的。这种混沌是真正的量子性质，因为它源于两个耦合势函数的准交叉区域处波包的分叉和合并。
