Abstract A continuous-state branching process with immigration having mechanism $\Psi$ and $\Phi$ , a CBI $(\Psi,\Phi)$ for short, may have either of two different asymptotic regimes, depending on whether $\int_{0}\frac{\Phi(u)}{|\Psi(u)|}\textrm{d} u<\infty$ or u=\infty$ . When the has limit distribution growth rate dictated by dynamics. $\scriptstyle\int_{0}\tfrac{\Phi(u)}{|\Psi(u)|}\textr...

Characterizing the most efficient evolution, quantum speed limit (QSL) plays a significant role in technology. How to generalize well-established QSL from closed systems open has attracted much attention. In contrast previous schemes derive reduced dynamics of systems, we propose bound point view total system consisting and its environment using quantum-state-diffusion method. The application o...