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arXiv 1002.2875nlin.CD
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时间反转对称受激双阱系统中的混沌瞬子与隧穿增强

Chaotic instantons and enhancement of tunneling in kicked double-well system with time-reversal symmetry

V. I. Kuvshinov, A. V. Kuzmin, V. A. Piatrou

摘要:

用混沌瞬子方法描述了反冲双势阱系统中的动态隧穿。利用算子指数的矩阵展开公式得到了被踢系统的有效哈密顿量,并利用该哈密顿量构造了混沌瞬子解的近似。这种近似用于推导地面quasienergy分裂依赖于扰动强度和频率。基于Floquet理论的相应基态准能劈裂依赖关系的数值计算结果在很宽的微扰参数范围内与导出的解析公式符合得很好。

英文摘要:

Chaotic instanton approach is used to describe dynamical tunneling in kicked double well system. Effective Hamiltonian for the kicked system is obtained using matrix expansion formula for operator exponent and exploited to construct an approximation for chaotic instanton solution. This approximation is used for derivation of the ground quasienergy splitting dependence on both the perturbation strength and frequency. Results of numerical calculations for corresponding ground quasienergy splitting dependencies based on Floquet theory are in good agreement with the derived analytical formula in a wide range of perturbation parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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