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arXiv · 2506.19194

Quantum vs. semiclassical description of in-QGP quarkonia in the quantum Brownian regime

Aoumeur Daddi-Hammou·Stéphane Delorme·Jean-Paul Blaizot·Pol Bernard Gossiaux·Thierry Gousset
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Abstract

In this work, we explore the range of validity of the semiclassical approximation of a quantum master equation designed to describe the $c\bar{c}$ dynamics in a quark gluon plasma at various temperatures, in the quantum Brownian regime. We perform a comparative study of various properties, e.g. the charmonia yield, of the Wigner density obtained with the Lindblad equation and with the associated semiclassical Fokker-Planck equation. The semiclassical description is found to reproduce with a remarkable accuracy the results obtained through the full quantum description. We show that, to a large extent, this can be attributed to the non-unitary components of the dynamics that result from the contact of the $c\bar{c}$ subsystem with the thermal bath, leading to a rapid classicalization of the subsystem.

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Aoumeur Daddi-Hammou, Stéphane Delorme, Jean-Paul Blaizot, Pol Bernard Gossiaux, Thierry Gousset. 2025-06-23. Quantum vs. semiclassical description of in-QGP quarkonia in the quantum Brownian regime. https://doi.org/10.1103/kyc5-mrj3

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