AI 中文总结
研究重夸克偶素中夸克 - 反夸克纠缠，在非微扰光前哈密顿框架下，通过构建约化密度矩阵计算冯·诺依曼熵，利用BLFQ波函数评估纠缠熵，揭示对矢量介子极化的敏感性，建立了量子信息与夸克偶素结构的联系。
AI 中文摘要
我们在非微扰光前哈密顿框架内研究重夸克偶素中的夸克 - 反夸克纠缠。通过对强子态矢量中的反夸克自由度求迹，构建夸克子系统的约化密度矩阵并计算相关的冯·诺依曼熵。对于自旋为0的夸克偶素，该熵可简化为非极化横向动量依赖部分子分布（TMD）的香农熵。对于自旋为1的夸克偶素，推导了熵的明确极化依赖性并将其与极化和张量极化TMD联系起来。利用通过基光前量子化（BLFQ）获得的光前波函数，评估了粲夸克偶素和底夸克偶素态的纠缠熵，揭示了对矢量介子极化的显著敏感性。此外，通过将动量空间熵与谐振子表示匹配来解析红外参数。这些结果将纠缠熵确立为非微扰夸克偶素结构的新型探针，在量子信息度量和部分子可观测量之间建立了直接联系。
英文摘要
We investigate quark-antiquark entanglement in heavy quarkonium within a nonperturbative light-front Hamiltonian framework. By tracing over the antiquark degrees of freedom in the hadronic state vector, we construct the reduced density matrix of the quark subsystem and compute the associated von Neumann entropy. For spin-0 quarkonia, we show that this entropy reduces to the Shannon entropy of the unpolarized transverse momentum dependent parton distribution (TMD), up to constant color and spin contributions. For spin-1 quarkonia, we derive the explicit polarization dependence of the entropy and connect it to polarized and tensor-polarized TMDs. Using light-front wave functions obtained via 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. Furthermore, we resolve the infrared parameter by matching the momentum-space entropy to a harmonic-oscillator representation. Ultimately, these results establish entanglement entropy as a novel probe of nonperturbative quarkonium structure, forging a direct link between quantum information measures and partonic observables.
Comments14 pages, 6 figures
