AI 中文总结
研究物质波贝尔干涉仪中依赖质量的退相干，基于施温格SU(2)映射提出框架分离相关贡献，通过评估零路径差时的贝尔关联提取源分布无关的幅度减小，给出双物种干涉仪探测新物理的界限。
AI 中文摘要
物质波贝尔干涉仪为纠缠量子系统中依赖质量的退相干提供了灵敏探测。纠缠程度由该干涉仪的贝尔关联幅度得出。为观察潜在的依赖质量的退相干，需要对贝尔关联幅度的任何观测减小进行可靠解释，这取决于几何退相、环境退相干以及源和探测统计的技术稀释。本文提出基于施温格SU(2)映射的框架，将这些贡献分离为局部幺正变换或耗散通道。通过在干涉仪路径差为零时评估贝尔关联，可提取与源分布无关的贝尔关联幅度减小。扩展该框架涉及不同质量原子时，已知的差分退相干通道在当前灵敏度下可忽略不计。这给出了双物种贝尔干涉仪开始探测超出已知系统误差的差分退相干的具体界限，为这类系统探索新物理，如依赖质量的退相干机制开辟了道路。
英文摘要
Matter-wave Bell interferometers provide a sensitive probe of mass-dependent decoherence in entangled quantum systems. The degree of entanglement is obtained from the Bell-correlation amplitude of this interferometer. For observing potential mass-dependent decoherence, a reliable interpretation of any observed reduction in the Bell correlation amplitude is required, which depends on three factors: geometric dephasing, environmental decoherence, and technical dilution from source and detection statistics. In this work, we present a framework based on the Schwinger SU(2) mapping to separate these contributions into local unitaries or dissipative channels. We show that by evaluating the Bell correlation at zero interferometer path difference, it is possible to extract a source-distribution-independent Bell correlation amplitude reduction. When this framework is extended to involve atoms of different mass, we show that the known differential decoherence channels are negligible at current sensitivity. This yields a concrete bound at which a dual-species Bell interferometer would begin to signal differential decoherence beyond the known systematics, opening the way for such systems to probe new physics, such as mass-dependent decoherence mechanisms.
