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

Abstract

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 non-linear 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.

26pages, 7figures; added some sentences

References in corpus (64)

• The equation of state in (2+1)-flavor QCD
• Full result for the QCD equation of state with 2+1 flavors
• Potential NRQCD: an effective theory for heavy quarkonium
• (Non)Thermal Aspects of Charmonium Production and a New Look at J/$\psi$ Suppression
• Real-time static potential in hot QCD
• J/psi Production vs Centrality, Transverse Momentum, and Rapidity in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• $J/\psi$ and ${\eta }_c$ in the Deconfined Plasma from Lattice QCD
• Static quark-antiquark pairs at finite temperature
• Observation of sequential Upsilon suppression in PbPb collisions
• J/$\psi$ suppression at forward rapidity in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• An AdS/CFT Calculation of Screening in a Hot Wind
• Centrality, rapidity and transverse momentum dependence of $J/\psi$ suppression in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$=2.76 TeV
• Charmonium and bottomonium production in heavy-ion collisions
• J/psi suppression at forward rapidity in Au+Au collisions at sqrt(s_NN)=200 GeV
• Complex Heavy-Quark Potential at Finite Temperature from Lattice QCD
• Charmonium properties in hot quenched lattice QCD
• Thermal Bottomonium Suppression at RHIC and LHC
• Quarkonium suppression in heavy-ion collisions: an open quantum system approach
• Medium Effects on Charmonium Production at ultrarelativistic energies available at the CERN Large Haron Collider
• Charmonium in Medium: From Correlators to Experiment
• Charmonium at finite temperature in quenched lattice QCD
• J/$\psi$ suppression at forward rapidity in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Heavy quarkonium suppression in a fireball
• Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
• Color Screening and Regeneration of Bottomonia in High-Energy Heavy-Ion Collisions
• Measurement of nuclear modification factors of ${\rm Y}$(1S), ${\rm Y}$(2S), and ${\rm Y}$(3S) mesons in PbPb collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=$ 5.02 TeV
• Heavy quark master equations in the Lindblad form at high temperatures
• J/psi Production in sqrt (s_NN)= 200 GeV Cu+Cu Collisions
• Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
• Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma
• Quarkonium In-Medium Transport Equation Derived from First Principles
• Suppression of Upsilon(1S), Upsilon(2S), and Upsilon(3S) production in PbPb collisions at sqrt(s[NN]) = 2.76 TeV
• The bottomonium spectrum at finite temperature from $N_f=2+1$ lattice QCD
• Heavy quark bound states in a quark-gluon plasma: dissociation and recombination
• The Schrödinger-Langevin equation with and without thermal fluctuations
• The approach to equilibrium of a quarkonium in a quark-gluon plasma
• Bottomonia suppression in 2.76 TeV Pb-Pb collisions
• Quarkonium at finite temperature: Towards realistic phenomenology from first principles
• Suppression of ${\rm Y}$(1S) at forward rapidity in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Dynamical dissociation of quarkonia by wave function decoherence
• $J/\psi$ production at low $p_T$ in Au+Au and Cu+Cu collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV at STAR
• Bottomonium suppression using a lattice QCD vetted potential
• Quarkonium inside Quark-Gluon Plasma: Diffusion, Dissociation, Recombination and Energy Loss
• Predictions for bottomonia suppression in 5.023 TeV Pb-Pb collisions
• Improved Gauss law model and in-medium heavy quarkonium at finite density and velocity
• Transport coefficients from in medium quarkonium dynamics
• Measurement of ${\rm Y}$(1S+2S+3S) production in $p$$+$$p$ and Au$+$Au collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV
• Heavy quarkonia in a medium as a quantum dissipative system: Master-equation approach
• Electric and Magnetic Screening Masses at Finite Temperature from Generalized Polyakov-Line Correlations in Two-flavor Lattice QCD
• Non-relativistic bound states in a moving thermal bath
• Complex heavy-quark potential and Debye mass in a gluonic medium from lattice QCD
• Quarkonium above deconfinement as an open quantum system
• A gauge invariant Debye mass and the complex heavy-quark potential
• Quarkonium in-medium properties from realistic lattice NRQCD
• Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation
• Static $\bar{Q}Q$ pair free energy and screening masses from correlators of Polyakov loops: continuum extrapolated lattice results at the QCD physical point
• Bayesian study of relativistic open and hidden charm in anisotropic lattice QCD
• Fate of in-medium heavy quarks via a Lindblad equation
• Application of fixed scale approach to static quark free energies in quenched and 2+1 flavor lattice QCD with improved Wilson quark action
• In-medium dispersion relations of charmonia studied by maximum entropy method
• ${\rm Y}(1S)$ transverse momentum spectra through dissociation and regeneration in heavy ion collisions
• An Effective Theory of Quarkonia in QCD Matter
• Dynamical evolution of heavy quarkonia in a deconfined medium

Cited by in corpus (43)

• Heavy quarks and jets as probes of the QGP
• Quantum simulation of non-equilibrium dynamics and thermalization in the Schwinger model
• Bottomonium suppression in an open quantum system using the quantum trajectories method
• Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Coupled Boltzmann Transport Equations of Heavy Quarks and Quarkonia in Quark-Gluon Plasma
• Open Quantum Systems for Quarkonia
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• Quantum simulation of open quantum systems in heavy-ion collisions
• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• Quarkonium Semiclassical Transport in Quark-Gluon Plasma: Factorization and Quantum Correction
• Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature
• Quantum evolution of quarkonia with correlated and uncorrelated noise
• Bottomonium suppression and elliptic flow from real-time quantum evolution
• Quantum mechanics of open systems: Dissipaton theories
• Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics
• Transverse Momentum Broadening of a Jet in Quark-Gluon Plasma: An Open Quantum System EFT
• Simulation of Lindblad equations for quarkonium in the quark-gluon plasma
• Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD
• Effective Field Theory for jet substructure in heavy ion collisions
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• QTRAJ 1.0: A Lindblad equation solver for heavy-quarkonium dynamics
• Gauge Invariance of Non-Abelian Field Strength Correlators: the Axial Gauge Puzzle
• Prospects for quarkonium studies at the high-luminosity LHC
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• The complex heavy-quark potential in an anisotropic quark-gluon plasma -- Statics and dynamics
• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
• Quarkonium dynamics in the quantum Brownian regime with non-abelian quantum master equations
• Real-time Dynamics of the Schwinger Model as an Open Quantum System with Neural Density Operators
• Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator
• Proper static potential in classical lattice gauge theory at finite T
• The impact of fluctuating initial conditions on bottomonium suppression in 5.02 TeV heavy-ion collisions
• Generalized Gluon Distribution for Quarkonium Dynamics in Strongly Coupled $\mathcal{N}=4$ Yang-Mills Theory
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• Multimode Brownian oscillators: Exact solutions to heat transport
• Quarkonium production and suppression: Theory
• Meson thermalization with a hot medium in the open Schwinger model
• Strange pentaquarks with a hidden heavy quark-antiquark pair
• Non-equilibrium evolution of quarkonium in medium in the open quantum system approach
• Emergent Viscous Hydrodynamics From a Single Quantum Particle
• Nonequilibrium evolution of quarkonium in medium
• Field mixing in a thermal medium: A quantum master equation approach
• Non-Markovian dynamics of bottomonia in the QGP