发表机构
Indian Institute of Technology Kanpur; Indian Institute of Technology Gandhinagar; LPC Caen, Normandie Univ, ENSICAEN, UNICAEN, CNRS/IN2P3（坎普尔印度理工学院; 甘地纳加尔印度理工学院; 卡昂粒子与核物理实验室，诺曼底大学，ENSICAEN，UNICAEN，CNRS/IN2P3）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究两味中微子振荡中Hellinger距离相干性对弱退相干的响应，发现其呈非解析√ε修正，而其他量子相干度量线性响应，并在大亚湾等实验参数下给出数值差异。
AI 中文摘要
我们评估了受Lindblad阻尼影响的质量本征态干涉项的两味中微子态的Hellinger距离相干性，并获得了用味基密度矩阵元素表示的闭式表达式。在忽略波包分离的两味真空处理中，无阻尼态是纯态，阻尼态的最小本征值随ε=1-κ线性增长，其中κ=e^{-ΓL}。对纯态附近的展开给出了Hellinger相干性的非解析√ε修正，系数为K=2√2 u sin2θ/√(1-2u)，而味跃迁概率、l1相干性、并发度、形成纠缠熵和局部量子Fisher信息均对ε线性响应。使用代表性的大亚湾、KamLAND和MINOS工作点以及当前能量无关阻尼的90%置信水平界限，我们发现Hellinger相干性的分数变化分别为0.18%、9.40%和21.51%，而并发度的分数变化分别为0.0009%、0.43%和1.81%。该比较关注量化器对阻尼参数的响应，不涉及实验分辨率的含义。对于作用于味相干性的相关退相通道，相同的机制以不同的系数运作，其中非马尔可夫区域产生阻尼复兴。
英文摘要
We evaluate the Hellinger-distance coherence of the two-flavor neutrino state subject to Lindblad damping of the mass-eigenstate interference term, and obtain a closed expression in terms of the flavor-basis density-matrix elements. In the two-flavor vacuum treatment with negligible wave-packet separation, the undamped state is pure, and the smallest eigenvalue of the damped state grows linearly with $ε=1-κ$, where $κ=e^{-ΓL}$. An expansion about the pure state then yields a nonanalytic $\sqrtε$ correction to the Hellinger coherence, with coefficient $K=2\sqrt{2}\,u\sin2θ/\sqrt{1-2u}$, whereas the flavor-transition probability, the $l_1$ coherence, the concurrence, the entanglement of formation and the local quantum Fisher information all respond linearly in $ε$. Using representative Daya Bay, KamLAND and MINOS working points together with a current $90\%$ C.L. bound on energy-independent damping, we find fractional changes in the Hellinger coherence of $0.18\%$, $9.40\%$ and $21.51\%$, against $0.0009\%$, $0.43\%$ and $1.81\%$ for the concurrence. The comparison concerns the response of the quantifiers to the damping parameter and carries no implication about experimental resolution. The same mechanism operates, with a different coefficient, for a correlated dephasing channel acting on the flavor coherence, where the non-Markovian regime produces damped revivals.
Comments10 pages, 4 figures
