Abstract
We present numerical solutions in a one-dimensional setting of quantum master equations that have been recently derived. We focus on the dynamics of a single heavy quark-antiquark pair in a Quark-Gluon Plasma in thermal equilibrium, in the so-called quantum Brownian regime where the temperature of the plasma is large in comparison with the spacing between the energy levels of the \( Q\overline{Q} \) system. The one-dimensional potential used in the calculations has been adjusted so as to produce numbers that are relevant for the phenomenology of the charmonium. The equations are solved using different initial states and medium configurations. Various temperature regimes are studied and the effects of screening and collisions thoroughly analyzed. Technical features of the equations are analyzed. The contributions of the different operators that control the evolution are discussed as a function of the temperature. Some phenomenological consequences are addressed.
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Acknowledgments
We wish to thank Aoumeur Daddi Hammou and Joerg Aichelin for valuable discussions. The authors thank the Région Pays de la Loire and Subatech for support. S.D. is supported by the Centre national de la recherche scientifique (CNRS) and Région Pays de la Loire and acknowledges the support of Narodowe Centrum Nauki under grant no. 2019/34/E/ST2/00186. R.K. was under contract No. 2015-08473. PBG is supported by the European Union’s Horizon 2020 research and innovation program under grant agreement No 824093 (STRONG-2020).
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Delorme, S., Katz, R., Gousset, T. et al. Quarkonium dynamics in the quantum Brownian regime with non-abelian quantum master equations. J. High Energ. Phys. 2024, 60 (2024). https://doi.org/10.1007/JHEP06(2024)060
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DOI: https://doi.org/10.1007/JHEP06(2024)060