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SUMMARY:"Classicalization" of quarkonia in the quark-gluon plasma
DTSTART;VALUE=DATE-TIME:20180515T171000Z
DTEND;VALUE=DATE-TIME:20180515T174000Z
DTSTAMP;VALUE=DATE-TIME:20200709T143126Z
UID:indico-contribution-2883189@indico.cern.ch
DESCRIPTION:Speakers: Shiori Kajimoto (Osaka University)\nRecently there h
as been rapid progress in understanding in-medium dynamics of a quarkonium
based on the framework of open quantum system [1-5]. The stochastic poten
tial model [5] introduces thermal fluctuations on Debye screened potential
and hence incorporates wave function decoherence. This model however lack
s quantum dissipation\, which has so far limited its application to early
times and has prevented comparison with experimental measurements. In this
contribution\, we present two strategies that overcome this limitation:\n
\n1. quantum-classical matching\nby investigating the localization propert
ies of wave function and in turn of the reduced density matrix\, we show\,
how\, at intermediate time scales\, one can switch from the quantum dynam
ics of the stochastic potential model to the classical dynamics of a Lange
vin equation. It involves matching the Wigner quasi-probability function o
f the former to the phase space distribution function of the latter. The v
alidity of this matching procedure is discussed.\n\n2. quantum state diffu
sion\nby directly implementing the quantum state diffusion formalism [6] f
or the Lindblad master equation [1] of a quarkonium\, i.e. mapping the Lin
dblad master equation to a non-linear stochastic Schrödinger equation (NL
SSE) for the wave function. This for the first time provides a direct link
between QCD and phenomenological models based on non-linear Schrödinger
equations. By numerically solving the corresponding NLSSE\, we can capture
quantum dissipation and thus the thermalization of quarkonia in a quantum
mechanical manner. For simplicity\, we discuss this formalism for a singl
e heavy quark in the QGP.\n\n\n[1] Akamatsu\, Phys. Rev. D91 (2015) 056002
.\n[2] Blaizot et al.\, Nucl. Phys. A946 (2016) 49.\n[3] De Boni\, JHEP 08
(2017) 064.\n[4] Brambilla et al.\, Phys. Rev. D96 (2017) 034021.\n[5] Ak
amatsu and Rothkopf\, Phys. Rev. D85 (2012) 105011\; Kajimoto et al.\, arX
iv: 1705.03365\, PRD in press.\n[6] Gisin et al.\, J. Phys. A: Math. Gen.
25 (1992) 5677.\n\nhttps://indico.cern.ch/event/656452/contributions/28831
89/
LOCATION:Palazzo del Casinò First floor and third floor
URL:https://indico.cern.ch/event/656452/contributions/2883189/
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