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This study applies basis light-front quantization (BLFQ) to calculate quark-antiquark entanglement entropy in charmonium and bottomonium states, establishing a direct link between quantum information measures and partonic observables. The research reveals that this entanglement is highly sensitive to the polarization of vector mesons, offering a novel theoretical probe for nonperturbative strong force dynamics within heavy quarkonia.

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BLFQ Calculates Entanglement in Charmonium and Bottomonium

Quantum ZeitgeistJuly 29, 20265 min read

We investigate quark-antiquark entanglement in heavy quarkonium within a nonperturbative light-front Hamiltonian framework, constructing the reduced density matrix of the quark subsystem and computing the associated von Neumann entropy. Using basis light-front quantization (BLFQ), we evaluate the entanglement entropy for charmonium and bottomonium states, revealing a pronounced sensitivity to the polarization of vector mesons.

Wenyu Zhang and colleagues have demonstrated a surprising connection between quantum entanglement and measurable properties within heavy quarkonium particles. The study reveals that for spin-0 quarkonia, the calculated von Neumann entropy, a measure of entanglement, reduces to the Shannon entropy of the unpolarized transverse momentum dependent parton distribution, up to constant color and spin contributions. Researchers further derived the explicit polarization dependence of the entropy and connected it to polarized and tensor-polarized parton distributions. Evaluating entanglement entropy for both charmonium and bottomonium states using…

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