AI 中文总结
本文研究非对易Moyal平面上自由实量子标量场的贝尔关联，利用扭多粒子统计及其福克空间修饰表示，通过经典外部源制备动量对构型的相干叠加，经局域模式测量使CHSH贝尔不等式被违反，为探测量子场多粒子部分的非对易结构提供可操作手段。
AI 中文摘要
我们研究非对易Moyal平面上自由实量子标量场的贝尔关联。尽管自由场动力学和单粒子部分保持不变，但该形变通过扭多粒子统计及其福克空间修饰表示引入。与扭修饰量子场局域耦合的经典外部源，制备了向两个类空分离实验室传播的动量对构型的相干叠加。依赖动量的扭相位通常不可分解，会在相应波包模式间产生纠缠。我们表明，合适的局域模式测量会导致CHSH贝尔不等式被违反，所得关联为探测编码在量子场多粒子部分中的非对易结构提供了可操作的手段。
英文摘要
We investigate Bell correlations for a free real quantum scalar field on the noncommutative Moyal plane. Although the free field dynamics and the one-particle sector remain unchanged, the deformation enters through twisted multiparticle statistics and its Fock-space dressing representation. A classical external source coupled locally to the twist-dressed quantum field prepares coherent superpositions of momentum-pair configurations propagating toward two spacelike-separated laboratories. The momentum-dependent twist phases are generally nonfactorizable and generate entanglement between the corresponding wave-packet modes. We show that suitable local mode measurements lead to a violation of the CHSH Bell inequality. The resulting correlations provide an operational probe of the noncommutative structure encoded in the multiparticle sector of the quantum field.
Comments12 pages, 1 figure
