1302.3511 (Sergio Cordero et al.)

Analytical study of quadratic and non-quadratic short-time behavior of
quantum decay    [PDF]

Sergio Cordero, Gastón García-Calderón

The short-time behavior of quantum decay of an unstable state initially located within an interaction region of finite range is investigated using a resonant expansion of the survival amplitude. It is shown that in general the short-time behavior of the survival probability $S(t)$ has a dependence on the initial state and may behave either as $S(t)=1-\mathcal{O}(t^{3/2})$ or as $S(t)=1-\mathcal{O}(t^{2})$. The above cases are illustrated by solvable models. The experiment reported in Ref. [1] does not distinguish between the above short-time behaviors.

View original: http://arxiv.org/abs/1302.3511