Thermal excitation spectrum from entanglement in an expanding quantum string

Abstract

A surprising result in $e^{+}{e}^{-}$ collisions is that the particle spectra from the string formed between the expanding quark-antiquark pair have thermal properties even though scatterings appear not to be frequent enough to explain this. We address this problem by considering the finite observable interval of a relativistic quantum string in terms of its reduced density operator by tracing over the complement region. We show how quantum entanglement in the presence of a horizon in spacetime for the causal transfer of information leads locally to a reduced mixed-state density operator. For very early proper time $\tau$, we show that the entanglement entropy becomes extensive and scales with the rapidity. At these early times, the reduced density operator is of thermal form, with an entanglement temperature $T_{\tau }=\hslash /(2\pi k_B\tau )$, even in the absence of any scatterings.

5 pages, 3 figures, published version

References in corpus (5)

• Deep inelastic scattering as a probe of entanglement
• Thermal Hadronization and Hawking-Unruh Radiation in QCD
• Local temperatures and local terms in modular Hamiltonians
• Quantum tomography for collider physics: Illustrations with lepton pair production
• Non-Perturbative Field Theory - From two dimensional conformal field theory to QCD in four dimensions

Cited by in corpus (42)

• Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Entanglement Suppression and Emergent Symmetries of Strong Interactions
• Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
• Deeply inelastic scattering structure functions on a hybrid quantum computer
• Thermal radiation and entanglement in proton-proton collisions at the LHC
• Dynamics of entanglement in expanding quantum fields
• Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate
• Single-particle digitization strategy for quantum computation of a ${\varphi }^4$ scalar field theory
• The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional
• Measurement of Bell-type inequalities and quantum entanglement from $\Lambda$-hyperon spin correlations at high energy colliders
• High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
• Entanglement entropy, entropy production and time evolution in high energy QCD
• Thermal behavior and entanglement in Pb-Pb and p-p collisions
• Quantum information approach to high energy interactions
• Entanglement, partial set of measurements, and diagonality of the density matrix in the parton model
• QCD evolution of entanglement entropy
• Thermodynamics from relative entropy
• Entropy production in pp and Pb-Pb collisions at energies available at the CERN Large Hadron Collider
• Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation
• Entanglement in Reggeized Scattering using AdS/CFT
• Second law of thermodynamics for relativistic fluids formulated with relative entropy
• Novel observables for exploring QCD collective evolution and quantum entanglement within individual jets
• Experimentally accessible bounds on distillable entanglement from entropic uncertainty relations
• Entanglement and thermalization
• Analysis of multiplicity dependencies of midrapidity pt distributions of identified charged particles in p+p collisions at (s)1/2=7 TeV at the LHC
• Quasifragmentation functions in the massive Schwinger model
• Thermal and hard scales in transverse momentum distributions, fluctuations and entanglement
• Gluon Quasi Particles and the CGC Density Matrix
• Entanglement as a probe of hadronization
• Doublon dynamics of Bose-Fermi mixtures in optical lattices
• Soft and hard scales of the transverse momentum distribution in the Color String Percolation Model
• Relative entropic uncertainty relation for scalar quantum fields
• Particle production and hadronization temperature in the massive Schwinger model
• Classicalization and unitarization of wee partons in QCD and Gravity: The CGC-Black Hole correspondence
• Why does the thermal model for hadron production in heavy ion collisions work?
• High Energy Hadron Production as Self-Organized Criticality
• Relative Entropy and Mutual Information in Gaussian Statistical Field Theory
• Thermal nature of confining strings
• Non-equilibrium dynamics and atom-pair coherence in strongly interacting Bose-Fermi mixtures
• Entropy current in relativistic quantum statistical mechanics
• Thermal behavior, entanglement entropy and parton distributions