2 problems

Consider the nonlinear Schrödinger evolution with perturbation $\eta|\psi_t|^2\psi_t$, where $\eta\in\mathbb R$, and let the associated quantum-resonance energy be $E$. The surviva…

Let ${\mathcal A}(t)=\langle\psi_0,\psi_t\rangle$ be the survival amplitude and ${\mathcal P}(t)=|{\mathcal A}(t)|^2$ the survival probability. In the regime where quantum-resonanc…