Tunneling effect and natural boundary of invariant torus
Tunneling effect and natural boundary of invariant torus
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隧道效应与不变环面的自然边界
DOI：
10.1103/physrevlett.109.154102
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
A.Shudo and K.S.Ikeda
中科院分区：
文献类型：
--
作者：
Masahisa Kubota;Soujirou Nakajima;and Tsutomu Hihara;A.Shudo and K.S.Ikeda
不可积系统的不变环面在复相空间中分裂。打破的边界预计将形成一个自然边界(Nb)，奇点沿着该边界密集凝聚。NB切断了控制隧穿输运的瞬子轨道，这可能会对隧穿过程产生严重影响。在这封信中，我们提供了明确的证据，表明Nb的存在是作为Nb正外侧隧道波振幅的反常增强而观察到的。
The invariant torus of nonintegrable systems breaks up in complexified phase space. The breaking border is expected to form a natural boundary (NB) along which singularities are densely condensed. The NB cuts off the instanton orbit controlling the tunneling transport from a quantized invariant torus, which might result in a serious effect on the tunneling process. In the present Letter, we provide clear evidence showing that the presence of the NB is observable as an anomalous enhancement of the tunneling wave amplitude in the immediate outer side of the NB.