  Due to larger mass and earlier production, heavy quark(quarkonium) can be
sensitive probes to investigate the fast decaying electromagnetic and vortical
fields produced in heavy-ion collisions. The non-relativistic Schroedinger-like
equation for heavy quarks under strong electromagnetic fields in the rotating
frame is deduced and used to construct the two-body equation for the charmonium
system. The effective potential between charm and anti-charm becomes
anisotropic in electromagnetic and vortical fields, especially along the
direction of the Lorentz force. The vorticity will affect this asymmetry
property largely and catalyze the transition from strong interaction dominant
bound state to electromagnetic and vortical interaction controlled anisotropic
bound state. It is possible to be realized in high-energy nuclear collisions.
