Ionization in damped time-harmonic fields

Abstract

We study the asymptotic behavior of the wave function in a simple one dimensional model of ionization by pulses, in which the time-dependent potential is of the form $V(x,t)=-2\delta (x)(1-e^{-\lambda t}\cos \omega t)$, where $\delta$ is the Dirac distribution. We find the ionization probability in the limit $t\to \infty$ for all $\lambda$ and $\omega$. The long pulse limit is very singular, and, for $\omega =0$, the survival probability is $const{\lambda }^{1/3}$, much larger than $O(\lambda )$, the one in the abrupt transition counterpart, $V(x,t)=\delta (x)1_{\{t\ge 1/\lambda \}}$ where $1$ is the Heaviside function.

References in corpus (1)

• Time asymptotics of the Schroedinger wave function in time-periodic potentials

Cited by in corpus (1)

• Gamow Vectors in a Periodically Perturbed Quantum System