Quantum evolution of quarkonia with correlated and uncorrelated noise
Rishi Sharma, Anurag Tiwari
Abstract
In the quark-gluon plasma, it is well known that the evolution of quarkonia is affected by the screening of the interaction between the quark and the antiquark. In addition, an exchange of energy and color with the surrounding medium can be included via the incorporation of noise terms in the evolution Hamiltonian. For noise correlated locally in time, these dynamics were studied in a simple setting by S. Kajimoto, Y. Akamatsu, M. Asakawa, and A. Rothkopf [Phys. Rev. D 97, 014003 (2018)]. We extend this calculation by considering non-Abelian dynamics for a three-dimensional wave function. We also propose a modification of the noise correlation, allowing it to have a finite correlation in time with the motivation to include long-lived gluonic correlations. We find that in both cases the results differ significantly from solutions of rate equations.