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

• URL: http://arxiv.org/abs/2506.19194v1
• Date: Mon, 23 Jun 2025 23:34:47 GMT
• Title: Quantum vs. semiclassical description of in-QGP quarkonia in the quantum Brownian regime
• Authors: Aoumeur Daddi-Hammou, Stéphane Delorme, Jean-Paul Blaizot, Pol Bernard Gossiaux, Thierry Gousset,
• Abstract summary: We explore the range of validity of the semiclassical approximation of a quantum master equation designed to describe the dynamics in a quark gluon plasma.<n>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 $cbarc$ subsystem with the thermal bath, leading to a rapid classicalization of the subsystem.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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