From the basic understanding of the Jablonski diagram any exciting light should excite the molecule to a higher energy state, and subsequently the molecule would de-excite to the lowest excited state via non radiative relaxation and then to the ground state giving out fluorescence. And depending on the probabilities the molecule can undergo a intersystem crossing and give out phosphorescence. But what actually happens when a high intensity light is subjected on the fluorescence specimen? What happens at the molecular level ?