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Many prior studies of in-medium quarkonium suppression have implicitly madeuse of an adiabatic approximation in which it was assumed that the heavy quarkpotential is a slowly varying function of time. In the adiabatic limit, one canseparately determine the in-medium breakup rate and the medium time evolution,folding these together only at the end of the calculation. In this paper, werelax this assumption by solving the 3d Schrodinger equation in real-time inorder to compute quarkonium suppression dynamically. We compare resultsobtained using the adiabatic approximation with real-time calculations for bothharmonic oscillator and realistic complex heavy quark potentials. Using thelatter, we find that, for the Upsilon(1s), the difference between the adiabaticapproximation and full real-time evolution is at the few percent level,however, for the Upsilon(2s), we find that the correction can be as large as18% in low temperature regions. For the J/Psi, we find a larger differencebetween the dynamical evolution and the adiabatic approximation, with the errorreaching approximately 36%.

Heavy quarkonium suppression beyond the adiabatic limit