Entanglement between Valence and Sea Quarks in Hadrons of 1+1 Dimensional QCD
arXiv:2209.09867 · doi:10.1016/j.aop.2023.169290
Abstract
The conceptual interpretation of valence- and sea-quark separation, which is a key aspect of the parton model and of an intuitive picture of hadron structure, becomes obscured by quantum effects in QCD. This suggests that there may be measures of entanglement between quark degrees of freedom that are present in QCD, but absent in the intuitive picture with a clear valence-sea (VS) separation. In this paper, we define the first rigorous measure of VS entanglement in QCD in an attempt to bring conceptual clarity to this issue, and, potentially, to find a measure of the applicability of the parton model to QCD bound states. This VS entanglement vanishes in the large- limit, and it remains low when finite- states resemble their large- counterparts. We perform a numerical study of VS entanglement in 1+1 dimensional discrete light-cone quantized QCD, and in the process develop a method for building the color-singlet basis of 1+1d QCD that is manifestly complete and orthogonal by construction. We calculate this VS entanglement entropy for the first time and find that it is relatively low for the first few excited states of both mesons and baryons compared to all other states in the spectrum, with the VS entropy of ground state hadrons providing a minimum. We also see that for ground state mesons the entropy is well described in the approximation. These results suggest that low energy hadrons may be the only QCD bound states for which the large- expansion, and perhaps the parton model, provide an accurate description. This work also provides the first evidence that the VS entanglement entropy of QCD in 3+1d, which would likely serve as an order parameter for the transition between quark and hadron degrees of freedom, may be perturbatively accessible through a large- expansion.
arXiv comment58 pages, 15 figures
References in corpus (92)
- Aspects of Holographic Entanglement Entropy
- Entropy and Area
- Geometric and Renormalized Entropy in Conformal Field Theory
- Quantum Chromodynamics and Other Field Theories on the Light Cone
- Generalized Parton Distributions
- Unraveling hadron structure with generalized parton distributions
- On Geometric Entropy
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
- Quantum Algorithms for Quantum Field Theories
- Simulating Lattice Gauge Theories within Quantum Technologies
- The 1/N Expansion for Baryons
- Entanglement from the vacuum
- Spin-Flavor Structure of Large N Baryons
- SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
- Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
- Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures
- Simulations of non-Abelian gauge theories with optical lattices
- Simulating lattice gauge theories on a quantum computer
- A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
- A Formulation of Lattice Gauge Theories for Quantum Simulations
- Quantum simulations of gauge theories with ultracold atoms: local gauge invariance from angular momentum conservation
- Constrained dynamics via the Zeno effect in quantum simulation: Implementing non-Abelian lattice gauge theories with cold atoms
- Entanglement and quantum tomography with top quarks at the LHC
- U(1) Wilson lattice gauge theories in digital quantum simulators
- Digitization of Scalar Fields for Quantum Computing
- Entanglement entropy and nonabelian gauge symmetry
- Entanglement Suppression and Emergent Symmetries of Strong Interactions
- Quantum Algorithms for Simulating the Lattice Schwinger Model
- Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories
- SU(2) hadrons on a quantum computer
- The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
- Towards Quantum Simulating QCD
- Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
- A resource efficient approach for quantum and classical simulations of gauge theories in particle physics
- The Nucleon-Nucleon Potential in the 1/N_c Expansion
- Non-Abelian Lattice Gauge Theories in Superconducting Circuits
- Gauge-invariant implementation of the Abelian Higgs model on optical lattices
- The EPR paradox and quantum entanglement at sub-nucleonic scales
- The mass radius of the proton
- Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
- Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
- Schwinger pair production with ultracold atoms
- Digital quantum computation of fermion-boson interacting systems
- Maximal Entanglement in High Energy Physics
- Entanglement Entropy of Scattering Particles
- Gauss's Law, Duality, and the Hamiltonian Formulation of U(1) Lattice Gauge Theory
- Solving Gauss's Law on Digital Quantum Computers with Loop-String-Hadron Digitization
- Real-time chiral dynamics from a digital quantum simulation
- Dynamics of entanglement in expanding quantum fields
- Expansion for Excited Baryons
- Excited Baryons Phenomenology from Large- QCD
- Single-particle digitization strategy for quantum computation of a scalar field theory
- Scalar Quantum Field Theories as a Benchmark for Near-Term Quantum Computers
- The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional
- Bose-Fermi duality and entanglement entropies
- Symmetry from Entanglement Suppression
- Variation of Entanglement Entropy in Scattering Process
- Gluon saturation and entropy production in proton proton collisions
- Entropy Creation in Relativistic Heavy Ion Collisions
- Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization
- Evaluation of Entanglement Entropy in High Energy Elastic Scattering
- Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations
- Entwinement in discretely gauged theories
- Entanglement entropy, entropy production and time evolution in high energy QCD
- Dynamical entropy of dense QCD states
- Entanglement minimization in hadronic scattering with pions
- Thermal behavior and entanglement in Pb-Pb and p-p collisions
- Evidence for the maximally entangled low proton in Deep Inelastic Scattering from H1 data
- The Entropy of a Jet
- Entanglement entropy in particle decay
- Investigating entanglement entropy at small-x in DIS off protons and nuclei
- High energy QCD: multiplicity distribution and entanglement entropy
- Event by Event Analysis and Entropy of Multiparticle Systems
- Broken Chiral Symmetry on a Null Plane
- Entanglement Spheres and a UV-IR connection in Effective Field Theories
- Momentum-space entanglement for interacting fermions at finite density
- Entanglement versus entwinement in symmetric product orbifolds
- Gibbs entropy from entanglement in electric quenches
- Entanglement and Fast Quantum Thermalization in Heavy Ion Collisions
- Regimes of the Pomeron and its Intrinsic Entropy
- Entanglement and thermalization
- Quantum Computation of Scattering Amplitudes in Scalar Quantum Electrodynamics
- Investigating the QCD dynamical entropy in high-energy hadronic collisions
- Quantum Entanglement and Thermal Behavior in Charged-Current Weak Interactions
- Entwinement as a possible alternative to complexity
- JIMWLK Evolution, Lindblad Equation and Quantum-Classical Correspondence
- Thermal and hard scales in transverse momentum distributions, fluctuations and entanglement
- Computing real time correlation functions on a hybrid classical/quantum computer
- Gluon Shadowing and Nuclear Entanglement
- Determination of the entanglement entropy in elastic scattering using model-independent method for hadron femtoscopy
- QCD_{1+1} at large N_F and N_C
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- Entanglement and confinement in lattice gauge theory tensor networks
- Entanglement as a probe of hadronization
- Quark pair angular correlations in the proton: entropy versus entanglement negativity
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