量子衰变为非平坦连续谱
Quantum decay into a non-flat continuum
摘要：
我们研究了预备态到非平坦连续谱的衰减。我们发现，生存概率$P(t)$可能会出现拉伸指数或幂律衰减，这取决于模型的非通用功能。还有一个不依赖于函数形式的普适特征时间$t_0$。只有对于平坦的连续谱，我们才能得到一个对连续谱内耦合性质不敏感的鲁棒指数衰减。分析突出了微扰和非微扰的特点在局域态密度的共存，和非线性依赖的$1/t_0$的耦合强度。
英文摘要：
We study the decay of a prepared state into non-flat continuum. We find that the survival probability $P(t)$ might exhibit either stretched-exponential or power-law decay, depending on non-universal features of the model. Still there is a universal characteristic time $t_0$ that does not depend on the functional form. It is only for a flat continuum that we get a robust exponential decay that is insensitive to the nature of the intra-continuum couplings. The analysis highlights the co-existence of perturbative and non-perturbative features in the local density of states, and the non-linear dependence of $1/t_0$ on the strength of the coupling.
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