Effects of event-by-event hydrodynamic fluctuations on bottomonium dynamics in Pb--Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV

We investigate the effects of event-by-event hydrodynamic fluctuations on bottomonium nuclear modification factors and elliptic flow in Pb–Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV. The internal evolution of the heavy quarkonium is described by a time-dependent Schrödinger equation with a temperature-dependent complex heavy-quark potential, while the hot QCD medium evolution is simulated using the iEBE-VISHNU event-by-event viscous hydrodynamic framework. By incorporating both fluctuating and smooth hot media, we observe that both $R_{AA}$ and $v_2$ of various bottomonium states are marginally affected by the medium fluctuations. By realistically simulating the dynamical evolution of bottomonium within a large set of event-by-event fluctuating hot QCD medium, this work provides key insights into the behavior of heavy-quarkonium observables in relativistic heavy-ion collisions.