Fate of in-medium heavy quarks via a Lindblad equation

Boni, Davide De

doi:10.1007/jhep08(2017)064

Cited by 39 publications

(44 citation statements)

References 58 publications

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“…Recent developments in this field include a formulation of a Lindblad type coupled dynamics for color singlet and octet degrees of freedom [83][84][85], which has been evaluated in a perturbative setting in [86]. A first attempt to describe bottomonium dynamics was presented in [80], however, the medium evolution used in this paper was not yet realistic.…”

Section: Discussionmentioning

confidence: 99%

Bottomonium suppression using a lattice QCD vetted potential

2018

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We estimate bottomonium yields in relativistic heavy-ion collisions using a lattice QCD vetted, complex-valued, heavy-quark potential embedded in a realistic, hydrodynamically evolving medium background. We find that the lattice-vetted functional form and temperature dependence of the proper heavy-quark potential dramatically reduces the dependence of the yields on parameters other than the temperature evolution, strengthening the picture of bottomonium as QGP thermometer. Our results also show improved agreement between computed yields and experimental data produced in RHIC 200 GeV=nucleon collisions. For LHC 2.76 TeV=nucleon collisions, the excited states, whose suppression has been used as a vital sign for quark-gluon-plasma production in a heavy-ion collision, are reproduced better than previous perturbatively-motivated potential models; however, at the highest LHC energies our estimates for bottomonium suppression begin to underestimate the data. Possible paths to remedy this situation are discussed.

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Section: Discussionmentioning

confidence: 99%

Bottomonium suppression using a lattice QCD vetted potential

2018

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“…, and [29]). The notation is, at this stage, symbolic and just expresses the fact that the right hand side of eq.…”

Section: Jhep06(2018)034mentioning

confidence: 91%

“…This point of view has emerged explicitly or implicitly in a number of recent works: derivation of a master equation, and corresponding rate equations [22], use of the influence functional method [23,24], solution of a stochastic Schrödinger equation [25][26][27], or direct computation of the evolution of the density matrix [28,29].…”

Section: Jhep06(2018)034mentioning

confidence: 99%

Quantum and classical dynamics of heavy quarks in a quark-gluon plasma

Blaizot

Escobedo

2018

J. High Energ. Phys.

110

100

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We derive equations for the time evolution of the reduced density matrix of a collection of heavy quarks and antiquarks immersed in a quark gluon plasma. These equations, in their original form, rely on two approximations: the weak coupling between the heavy quarks and the plasma, the fast response of the plasma to the perturbation caused by the heavy quarks. An additional semi-classical approximation is performed. This allows us to recover results previously obtained for the abelian plasma using the influence functional formalism. In the case of QCD, specific features of the color dynamics make the implementation of the semi-classical approximation more involved. We explore two approximate strategies to solve numerically the resulting equations in the case of a quarkantiquark pair. One involves Langevin equations with additional random color forces, the other treats the transition between the singlet and octet color configurations as collisions in a Boltzmann equation which can be solved with Monte Carlo techniques.

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“…Let us mention how the above master equation differs from previous proposals in the literature. In a recent study [42], the effects of dissipation have been considered in a quarkonium master equation; however, the author did not derive a self-consistent Lindblad equation, and as a result additional terms needed to be added by hand. A Lindblad-like master equation in a weakly coupled setting has been derived in [43] with a focus of further simplifying the dynamics using semi-classical approximations.…”

Section: B Lindblad Equation For Quarkonium Relative Motionmentioning

confidence: 99%

“…This question of the evolution of a small quantum system "S" coupled to an environment "E" has been studied in detail in condensed matter physics. In that context the open-quantum-system approach has been developed and applied to the description of quarkonium in the QGP as well [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. The ultimate goal then is to eventually simulate a quarkonium as an open quantum system in the QGP and extract information on the in-medium forces from experimental data of Υ and J/ψ measured at the LHC and RHIC [2,3,[49][50][51][52][53][54][55][56][57].…”

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confidence: 99%

Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma

et al. 2020

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In this paper we study the real-time evolution of heavy quarkonium in the quark-gluon plasma (QGP) on the basis of the open quantum systems approach. In particular, we shed light on how quantum dissipation affects the dynamics of the relative motion of the quarkonium state over time. To this end we present a novel non-equilibrium master equation for the relative motion of quarkonium in a medium, starting from Lindblad operators derived systematically from quantum field theory. In order to implement the corresponding dynamics, we deploy the well established quantum state diffusion method. In turn we reveal how the full quantum evolution can be cast in the form of a stochastic non-linear Schrödinger equation. This for the first time provides a direct link from quantum chromodynamics (QCD) to phenomenological models based on nonlinear Schrödinger equations. Proof of principle simulations in one-dimension show that dissipative effects indeed allow the relative motion of the constituent quarks in a quarkonium at rest to thermalize. Dissipation turns out to be relevant already at early times well within the QGP lifetime in relativistic heavy ion collisions. I. INTRODUCTIONOver the past decades, properties of nuclear matter in extreme conditions have been vigorously studied both experimentally and theoretically.At modern collider facilities, such as the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC), heavy nuclei are collided at ultrarelativistic energy to create a multiparticle system in the collision center, endowed with an extremely high energy density.A multitude of measurements suggest that the energy densities reached are high enough that a new phase of nuclear matter, the "quark-gluon plasma (QGP)" is realized [1-3].On the theory side significant progress has been made in understanding the thermodynamic, i.e. static properties of the QGP at the temperatures reached in heavy ion collisions at which QCD dynamics is still nonperturbative. Lattice QCD simulations have played a central role in this regard shedding light on e.g. the crossover transition temperature [4,5], the physics of static screening in QCD [6,7] and the equilibrium spectral properties of heavy *

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Fate of in-medium heavy quarks via a Lindblad equation

Cited by 39 publications

References 58 publications

Bottomonium suppression using a lattice QCD vetted potential

Bottomonium suppression using a lattice QCD vetted potential

Quantum and classical dynamics of heavy quarks in a quark-gluon plasma

Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma

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