发表机构
Shiv Nadar IoE Deemed to be University; Henan Normal University（希夫·纳达尔印度理工学院; 河南师范大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究采用信息论方法分析暗磁单极子与SM费米子经动力学混合门户散射中的量子纠缠，发现冯诺依曼熵随磁荷和混合参数二次增长，提出以退相干和纯度损失为新可观测量来约束门户参数、探索拓扑结构。
AI 中文摘要
我们研究了标准模型（SM）费米子与通过动力学混合门户介导的拓扑暗磁单极子之间的相互作用，以探究粒子-门户散射中量子纠缠的产生。传统唯象学仅考虑总截面、衰变宽度和丢失能量信号，而我们采用信息论方法来解释散射事件。我们通过解析计算冯诺依曼熵（$S_{\text{ent}}$）和子系统纯度劣化度（$γ< 1$），量化了通过门户边界传输的量子关联。我们的结果表明，暗磁单极子的非微扰核心形状因子控制其高能动量转移，且冯诺依曼熵随拓扑磁荷（$g_m^2$）和动力学混合参数（$ε^2$）呈二次增长。该范式通过将量子退相干和纯度损失确立为新的互补可观测量，提供了一种信息论“显微镜”，可在不使用传统能量信号的情况下限制门户参数空间并探索潜在的拓扑结构。
英文摘要
We examine the interaction between the Standard Model (SM) fermions and the topological dark magnetic monopoles mediated via a kinetic-mixing portal to investigate the generation of quantum entanglement in particle-portal scattering. While the conventional phenomenology only takes into account total cross-sections, decay widths, and missing-energy signatures, we employ an information-theoretic approach to explain the scattering event. We quantify the quantum correlations transported over the portal boundary by calculating the Von Neumann entropy ($S_{\text{ent}}$) and the subsystem purity deterioration ($γ< 1$) analytically. Our results demonstrate that the non-perturbative core form factor of the dark monopole controls its high-energy momentum transfer and that the Von Neumann entropy increases quadratically with the topological magnetic charge ($g_m^2$) and the kinetic-mixing parameter ($ε^2$). This paradigm provides an information-theoretic "microscope" to restrict portal parameter spaces and explore underlying topological structures without using traditional energy signatures by establishing quantum decoherence and purity loss as new, complementary observables.
Comments16 pages, 1 figure
