发表机构
Islamic Azad University, Garmsar（伊斯兰阿扎德大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究建立两态中微子自旋-味系统与量子拉比模型（QRM）的算符及谱对应关系，推导中微子变量的代数约束，识别QRM相关量子现象，以囚禁离子QRM实验为基准。
AI 中文摘要
我们构建了一个两态中微子自旋-味系统，该系统通过跃迁磁矩与单个量子化电磁模式耦合，并在算符层面建立了其与量子拉比模型（QRM）的对应关系。对于态空间{∣ν_iL⟩,∣ν_jR⟩}，对角分裂为Δ_s=(m_i²−m_j²)/(2E)+V_iL−V_jR，而横向电磁模式的量子化给出耦合强度g_ν=μ_ijB_zpf。由此得到的有效哈密顿量具有QRM形式：H_ν=Δ_sσ_z/2+ω_ca†a+g_νσ_x(a+a†)。随后我们在精确QRM谱层面建立对应关系，重点关注其特殊（Juddian）态，并将QRM的约束多项式直接转化为中微子变量的约束，得到关于中微子质量分裂、能量、跃迁磁矩、零点磁场及模式频率的显式代数条件。我们还识别出QRM现象将成为量子化场中微子模型的条件预测，包括反旋转修正、宇称结构、自旋-场纠缠及依赖于占据数的动力学。囚禁离子QRM实验为该算符族提供了基准，而这些QRM现象均未作为已观测到的中微子效应被报道。
英文摘要
We formulate a two-state neutrino spin--flavor system coupled through a transition magnetic moment to a single quantized electromagnetic mode and establish its operator-level correspondence with the quantum Rabi model (QRM). For the sector $\{\lvertν_{iL}\rangle,\lvertν_{jR}\rangle\}$, the diagonal splitting is $Δ_s=(m_i^2-m_j^2)/(2E)+V_{iL}-V_{jR}$, while quantization of a transverse electromagnetic mode gives a coupling $g_ν=μ_{ij}B_{\rm zpf}$. The effective Hamiltonian consequently has the QRM form $H_ν=Δ_sσ_z/2+ω_c a^\dagger a+g_νσ_x(a+a^\dagger)$. We then formulate the correspondence at the level of the exact QRM spectrum, focusing on its exceptional (Juddian) states, and transfer the QRM constraint polynomials directly to neutrino variables. This yields explicit algebraic conditions on the neutrino mass splitting, energy, transition magnetic moment, zero-point magnetic field, and mode frequency. We also identify QRM phenomena that would become conditional predictions of the quantized-field neutrino model---including counter-rotating corrections, parity structure, spin--field entanglement, and occupation-dependent dynamics. The trapped-ion QRM experiments provide benchmarks for the operator family, while none of these QRM phenomena is presented as an already observed neutrino effect.
