Complete Ionization for a Non-autonomous Point Interaction Model in d = 2

We consider the two dimensional Schr\"odinger equation with time dependent delta potential, which represents a model for dynamics of quantum particle subject to point interaction whose strength varies in time. First, we prove global well-posedness associated Cauchy problem under general assumptions on potential and initial datum. Then, monochromatic periodic (which also satisfies suitable no-resonance condition) investigate asymptotic behavior survival probability bound state time-independent problem. Such is shown have decay order $\mathcal{O}(\log t/t)^2$, up lower terms.