Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature

Abstract

Using the potential non-relativistic quantum chromodynamics (pNRQCD) effective field theory, we derive a Lindblad equation for the evolution of the heavy-quarkonium reduced density matrix that is accurate to next-to-leading order (NLO) in the ratio of the binding energy of the state to the temperature of the medium. The resulting NLO Lindblad equation can be used to more reliably describe heavy-quarkonium evolution in the quark-gluon plasma at low temperatures compared to the leading-order truncation. For phenomenological application, we numerically solve the resulting NLO Lindblad equation using the quantum trajectories algorithm. To achieve this, we map the solution of the three-dimensional Lindblad equation to the solution of an ensemble of one-dimensional Schrödinger evolutions with Monte-Carlo sampled quantum jumps. Averaging over the Monte-Carlo sampled quantum jumps, we obtain the solution to the NLO Lindblad equation without truncation in the angular momentum quantum number of the states considered. We also consider the evolution of the system using only the complex effective Hamiltonian without stochastic jumps and find that this provides a reliable approximation for the ground state survival probability at LO and NLO. Finally, we make comparisons with our prior leading-order pNRQCD results and experimental data available from the ATLAS, ALICE, and CMS collaborations.

arXiv comment40 pages, 8 figures; corrections to secs. 2.4, 3.2 and 3.4 as detailed in erratum

References in corpus (63)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Concepts and methods in the theory of open quantum systems
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• (Non)Thermal Aspects of Charmonium Production and a New Look at J/$\psi$ Suppression
• Enhanced J/Psi Production in Deconfined Quark Matter
• Real-time static potential in hot QCD
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• Static quark-antiquark pairs at finite temperature
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Complex Heavy-Quark Potential at Finite Temperature from Lattice QCD
• Thermal Bottomonium Suppression at RHIC and LHC
• Quarkonium suppression in heavy-ion collisions: an open quantum system approach
• Heavy Quarkonium in Extreme Conditions
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• Heavy quarkonium suppression in a fireball
• Heavy Quarkonium in a weakly-coupled quark-gluon plasma below the melting temperature
• Heavy quark master equations in the Lindblad form at high temperatures
• What happens to the Upsilon and eta_b in the quark-gluon plasma? Bottomonium spectral functions from lattice QCD
• Thermal width and gluo-dissociation of quarkonium in pNRQCD
• Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
• Completely Positive Quantum Dissipation
• Thermal width and quarkonium dissociation by inelastic parton scattering
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Non-relativistic bound states at finite temperature (I): the hydrogen atom
• Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma
• Lattice QCD constraints on the heavy quark diffusion coefficient
• Quarkonium In-Medium Transport Equation Derived from First Principles
• 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
• Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
• Bottomonium suppression in an open quantum system using the quantum trajectories method
• Bottomonia suppression in 2.76 TeV Pb-Pb collisions
• Coupled Boltzmann Transport Equations of Heavy Quarks and Quarkonia in Quark-Gluon Plasma
• Thermalization and isotropization in heavy-ion collisions
• Non-equilibrium attractor in high-temperature QCD plasmas
• Transport coefficients from in medium quarkonium dynamics
• Open Quantum Systems for Quarkonia
• Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma
• Heavy quark potential in quark-gluon Plasma: Deep neural network meets lattice quantum chromodynamics
• Bottomonium production in heavy-ion collisions using quantum trajectories: Differential observables and momentum anisotropy
• Real-time quantum dynamics of heavy quark systems at high temperature
• Thermal Broadening of Bottomonia: Lattice Non-Relativistic QCD with Extended Operators
• Nonperturbative potential for study of quarkonia in QGP
• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• Quarkonium in-medium properties from realistic lattice NRQCD
• Quarkonium Semiclassical Transport in Quark-Gluon Plasma: Factorization and Quantum Correction
• Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation
• Quantum evolution of quarkonia with correlated and uncorrelated noise
• Bottomonium suppression and elliptic flow from real-time quantum evolution
• Realistic in-medium heavy-quark potential from high statistics lattice QCD simulations
• Fate of in-medium heavy quarks via a Lindblad equation
• Thermal Heavy Quark Self-Energy from Euclidean Correlators
• Bulk observables at 5.02 TeV using quasiparticle anisotropic hydrodynamics
• Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics
• Phenomenological study of quarkonium suppression and the impact of the energy gap between singlets and octets
• QTRAJ 1.0: A Lindblad equation solver for heavy-quarkonium dynamics
• Polyakov loop correlator in perturbation theory
• Proper static potential in classical lattice gauge theory at finite T
• The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics
• Effective Debye Screening Mass in an Anisotropic Quark Gluon Plasma

Cited by in corpus (5)

• 50 Years of Quantum Chromodynamics
• Simulation of Lindblad equations for quarkonium in the quark-gluon plasma
• The impact of fluctuating initial conditions on bottomonium suppression in 5.02 TeV heavy-ion collisions
• Non-equilibrium evolution of quarkonium in medium in the open quantum system approach
• Open and hidden heavy flavor measurements at RHIC