多色微扰双势阱系统中的混沌瞬子与隧穿增强
Chaotic instantons and enhancement of tunneling in double-well system with polychromatic perturbation
摘要：
混沌瞬子方法可以解析地描述多色微扰对非线性系统量子性质的影响。本文考虑了具有单、多和多色反冲扰动的双阱系统，将定量的解析预测与数值计算结果进行了比较。混沌瞬子负责增强隧道远离确切的（避免）的水平交叉的框架中使用的方法。为了考虑混沌瞬子解对基态准能偶极子分裂的贡献，采用了与时间无关的平均系统对混沌瞬子解进行正则逼近。在混沌瞬子方法框架下，通过对随机层中的轨道作用进行平均，推导出基态准能级分裂公式。隧道动力学的准能谱数值计算和模拟结果与理论预测符合得很好。
英文摘要：
Chaotic instanton approach allows to describe analytically the influence of the polychromatic perturbation on quantum properties of nonlinear systems. Double well system with single, multiple and polychromatic kicked perturbation is considered in the paper to compare quantitative analytical predictions with the results of numerical calculations. Chaotic instantons are responsible for the enhancement of tunneling far away from the exact (avoided) level crossings in framework of the approach used. Time-independent averaged system is used for regular approximation of the chaotic instanton solution in order to take into account its contribution to the ground quasienergy doublet splitting. Formula for the ground quasienergy levels' splitting was derived averaging trajectory action in the stochastic layer in the framework of chaotic instanton approach. Results of quasienergy spectrum numerical calculations and simulations for tunneling dynamics are in good agreement with the obtained analytical predictions.
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