DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: QCD evolution of entanglement entropy

Journal Article · · Reports on Progress in Physics

Entanglement entropy has emerged as a novel tool for probing nonperturbative quantum chromodynamics (QCD) phenomena, such as color confinement in protons. While recent studies have demonstrated its significant capability in describing hadron production in deep inelastic scatterings, the QCD evolution of entanglement entropy remains unexplored. Here, in this work, we investigate the differential rapidity-dependent entanglement entropy within the proton and its connection to final-state hadrons, aiming to elucidate its QCD evolution. Our analysis reveals a strong agreement between the rapidity dependence of von Neumann entropy, obtained from QCD evolution equations, and the corresponding experimental data on hadron entropy. These findings provide compelling evidence for the emergence of a maximally entangled state, offering new insights into the nonperturbative structure of protons.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0012704
OSTI ID:
2483541
Report Number(s):
BNL--226442-2024-JAAM
Journal Information:
Reports on Progress in Physics, Journal Name: Reports on Progress in Physics Journal Issue: 12 Vol. 87; ISSN 0034-4885
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (57)

Dynamics of entanglement in expanding quantum fields journal April 2018
The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional journal May 2019
Temporal entanglement entropy as a probe of renormalization group flow journal May 2024
Single bottom quark production in k ⊥-factorisation journal September 2015
Charged particle multiplicities in deep inelastic scattering at HERA journal December 1996
Pomeron and odderon in QCD and a two dimensional conformal field theory journal November 1990
Asymptotic freedom in parton language journal August 1977
Gluon recombination and shadowing at small values of x journal May 1986
Unitarity and the BFKL pomeron journal March 1995
Operator expansion for high-energy scattering journal March 1996
The Uses of conformal symmetry in QCD journal January 2003
BFKL pomeron in the next-to-leading approximation journal June 1998
Diffractive dissociation including multiple pomeron exchanges in high parton density QCD journal June 2000
Entanglement between valence and sea quarks in hadrons of 1+1 dimensional QCD journal May 2023
ManeParse : A Mathematica reader for Parton Distribution Functions journal July 2017
A linear evolution for non-linear dynamics and correlations in realistic nuclei journal January 2004
Entanglement as a probe of confinement journal June 2008
Cosmological dark energy from the cosmic QCD phase transition and colour entanglement journal March 2005
Gluon saturation and entropy production in proton–proton collisions journal November 2011
Thermal excitation spectrum from entanglement in an expanding quantum string journal March 2018
Entanglement entropy, entropy production and time evolution in high energy QCD journal May 2019
Entanglement and thermodynamics after a quantum quench in integrable systems journal July 2017
Observation of quantum entanglement in top quark pair production in proton–proton collisions ats=13 TeV journal October 2024
Quantum information approach to high energy interactions journal December 2021
Investigating entanglement entropy at small x in DIS off protons and nuclei journal April 2020
Deep inelastic scattering as a probe of entanglement: Confronting experimental data journal August 2021
Quark and gluon entanglement in the proton on the light cone at intermediate x journal April 2022
Investigating the QCD dynamical entropy in high-energy hadronic collisions journal May 2022
Rapidity evolution of the entanglement entropy in quarkonium: Parton and string duality journal June 2022
Quantum SMEFT tomography: Top quark pair production at the LHC journal September 2022
Page entropy of a proton system in deep inelastic scattering at small x journal November 2022
Measurement of Bell-type inequalities and quantum entanglement from Λ -hyperon spin correlations at high energy colliders journal August 2022
Spatial entanglement in two-dimensional QCD: Renyi and Ryu-Takayanagi entropies journal March 2023
Entanglement entropy of the proton in coordinate space journal July 2023
1+1D hadrons minimize their biparton Renyi free energy journal July 2023
Quark pair angular correlations in the proton: Entropy versus entanglement negativity journal August 2023
Quantum information perspective on meson melting journal October 2023
Entanglement in a holographic Schwinger pair with confinement journal October 2023
Entanglement entropy in a time-dependent holographic Schwinger pair creation journal December 2023
Detecting the critical point through entanglement in the Schwinger model journal November 2023
Von Neumann entropy and Lindblad decoherence in the high-energy limit of strong interactions journal March 2024
Dynamical entropy of dense QCD states journal February 2013
F 2 and F L at small x using a collinearly improved BFKL resummation journal April 2013
Holographic pomeron and entropy journal July 2013
BFKL evolution and the growth with energy of exclusive J / Ψ and ϒ photoproduction cross sections journal September 2016
Deep inelastic scattering as a probe of entanglement journal June 2017
Hard to Soft Pomeron Transition in Small- x Deep Inelastic Scattering Data Using Optimal Renormalization journal January 2013
Entropy of a Jet journal September 2019
Einstein-Podolsky-Rosen Paradox and Quantum Entanglement at Subnucleonic Scales journal February 2020
Probing the Onset of Maximal Entanglement inside the Proton in Diffractive Deep Inelastic Scattering journal December 2023
Quantum entanglement journal June 2009
QCD thermalization: Ab initio approaches and interdisciplinary connections journal August 2021
Combination of measurements of inclusive deep inelastic $${e^{\pm }p}$$ e ± p scattering cross sections and QCD analysis of HERA data: H1 and ZEUS Collaborations journal December 2015
Measurement of charged particle multiplicity distributions in DIS at HERA and its implication to entanglement entropy of partons: H1 Collaboration journal March 2021
Evidence for the maximally entangled low x proton in Deep Inelastic Scattering from H1 data journal February 2022
Quantum tops at the LHC: from entanglement to Bell inequalities journal April 2022
Maximally entangled proton and charged hadron multiplicity in Deep Inelastic Scattering journal December 2022