Quarkonium dynamics in the quantum Brownian regime with non-abelian quantum master equations

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 $Q\bar{Q}$ 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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• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Charmonium in Medium: From Correlators to Experiment
• Color Screening and Regeneration of Bottomonia in High-Energy Heavy-Ion Collisions
• Heavy quark master equations in the Lindblad form at high temperatures
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Cited by in corpus (3)

• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Non-perturbative quarkonium dissociation rates in strongly coupled quark-gluon plasma
• Non-Markovian dynamics of bottomonia in the QGP