I will talk about two topics (if time allows): (1) heavy quarkonium production as QGP signal and (2) gluon Bose-Einstein Condensate in the thermalization process. For (1), I will present our transport model which has been extended to the LHC era, which combines a transport description for heavy quarkonium motion and the hydrodynamic evolution of the QGP, and also the numerical results compared with the LHC experimental data will be discussed. For (2), we will show results from the improved BAMPS model to simulate the gluon Bose-Einstein Condensate (BEC) along thermalization process in a static gluon system.