关联的非惯性响应：从标量贝尔可观测量到扩展关联张量
Non-Inertial Response of Correlations: From Scalar Bell Observables to an Extended Correlation Tensor
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中文总结 AI 辅助
该研究区分了光子与费米子扇区的关联非惯性响应，发现其贝尔可观测量符号相反，引入扩展关联张量，提出相位同步实验以分离基旋转与关联结构残余响应，恢复 Tsirelson 界并得到符号相反的最优 CHSH 组合。
中文摘要 AI 辅助
标准贝尔可观测量是与选定的一对局域测量方向相关联的标量关联，我们将其表述为完整两粒子张量的关联块的投影，并区分出两个根本不同的角 sector（ sector 译为“扇区”）。核心结果是角余弦定律的乘积符号发生反转：光子扇区具有正的 prefactor（ prefactor 译为“系数”），而费米子单态扇区具有负的系数。对于重合的校准设置，贝尔可观测量对光子为正，对费米子为负。这种符号差异可用于实验识别这两种类型的粒子。对于光子，该结果源于在完整非惯性相位区间上对两个投影振幅取平均；费米子符号源于完整相位-动量扇区的负交换和乐。将相位方向映射到线性偏振器的物理轴会产生相应的双角依赖关系。因此，两种情况的区别在于它们的关联张量，而非贝尔可观测量的不同定义。光子斯托克斯关联张量具有正的线性偏振分量和负的圆偏振分量，而费米子单态由各向同性的负关联张量描述。引入了与运动相关的扩展张量及其通常与频率相关的非惯性 susceptibility（ susceptibility 译为“ susceptibility”）。提出了一项结合机械和等效光学调制的相位同步实验，以将校准基旋转与关联结构的残余响应分离。相同的相位构造产生二元联合概率并恢复 Tsirelson bound（ Tsirelson bound 译为“ Tsirelson 界”），对于光子和费米子扇区，最优 CHSH 组合具有相反的符号。
英文摘要
A standard Bell observable is a scalar correlation associated with a selected pair of local measurement directions. We formulate it as a projection of a complete two-particle correlation tensor and distinguish two angular sectors. The central result is a reversal of the sign multiplying the cosine law: for coincident calibrated settings, the Bell observable is positive for photons and negative for a fermionic singlet. This distinction provides an operational criterion for experimental identification. For photons, the positive sign follows from averaging two projection amplitudes over the complete non-inertial phase interval; the fermionic sign follows from the negative exchange holonomy of the phase--momentum sector. Mapping phase directions to linear-polarizer axes produces the corresponding double-angle dependence. The photon Stokes tensor has positive linear-polarization components and a negative circular-polarization component, whereas the fermionic singlet has an isotropic negative tensor. We introduce a motion-dependent extended tensor and a frequency-dependent non-inertial susceptibility. A phase-synchronous two-arm experiment combines optical modulation, rotation, and seeded multiaxial piezoelectric vibration. Independent motion measurements separate common and differential components and allow controlled variation from correlated to independent and oppositely driven motion; a single rigid platform is the simpler common-frame limit. Bell-setting and state-correlation vectors express the sign reversal as a scalar projection. The construction yields binary joint probabilities and recovers the Tsirelson bound with oppositely signed optimal CHSH combinations.
