GENERALIZED COHERENT-STATE ANALYSIS OF SEMICLASSICAL QUANTUM CHAOS FOR AN ANGULAR MOMENTUM-J IN A RESONANT CAVITY

被引:9
作者
FOX, RF
机构
[1] School of Physics, Georgia Institute of Technology, Atlanta
来源
PHYSICAL REVIEW A | 1991年 / 44卷 / 10期
关键词
D O I
10.1103/PhysRevA.44.6193
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
An angular momentum J in a resonant-cavity electromagnetic field exhibits chaos in the time dependence of the expectation value of J(z). This fact is transparently demonstrated using the SU(2) generalized coherent-state picture. Using Hale's averaging theorem, the mechanism of chaos is elucidated and found to be equivalent to a periodically modulated, near-separatrix, pendulum motion. The rotating-wave approximation is also elucidated, and its nonchaos is explained. The modulations that cause chaos result from virtual transitions, and the variance of J(z) initially grows exponentially.
引用
收藏
页码:6193 / 6201
页数:9
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