Origin of the enhancement of tunneling probability in the nearly integrable system
Origin of the enhancement of tunneling probability in the nearly integrable system
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近可积系统中隧道概率增强的由来
DOI：
10.1103/physreve.91.042913
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发表时间：
2015
影响因子：
2.4
通讯作者：
Akira Shudo and Kensuke S. Ikeda
中科院分区：
文献类型：
--
作者：
Yasutaka Hanada;Akira Shudo and Kensuke S. Ikeda
仔细研究了近可积系统中隧道几率的增强，重点研究了隧道分裂作为普朗克常数的倒数的函数。通过使用减振器有效地抑制耦合，在小区中产生尖峰的分析，我们发现分裂曲线应该被视为伴随尖峰的阶梯形骨架。我们进一步引入了重整化可积哈密顿量，并通过仔细研究特征函数的性质来探索这种阶梯结构的起源。研究发现，阶梯结构的起源可以追溯到隧道尾部的反常结构，这种反常结构体现在重整化作用基的表示上。这也解释了为什么楼梯不出现在完全可积系统中的原因。
The enhancement of tunneling probability in the nearly integrable system is closely examined, focusing on tunneling splittings plotted as a function of the inverse of the Planck's constant. On the basis of the analysis using the absorber which efficiently suppresses the coupling, creating spikes in the plot, we found that the splitting curve should be viewed as the staircase-shaped skeleton accompanied by spikes. We further introduce renormalized integrable Hamiltonians and explore the origin of such a staircase structure by investigating the nature of eigenfunctions closely. It is found that the origin of the staircase structure could trace back to the anomalous structure in tunneling tail which manifests itself in the representation using renormalized action bases. This also explains the reason why the staircase does not appear in the completely integrable system.