arXiv 2607.034292026-07-07quant-phgr-qc

物质场交换产生纠缠，而非经典引力

Matter-Field Exchange Generates Entanglement, Not Classical Gravity

University of Oxford（牛津大学）；The University of Hong Kong（香港大学）

Nicetu Tibau Vidal, Aditya Varna Iyer

备注：: 15 pages, 5 figures

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AI总结：

研究量子物质与经典引力场混合理论中两质量系统纠缠产生机制，通过微扰量子场论框架分析，指出其是物质扇区串扰效应，非经典引力介导纠缠，还给出消除该效应的预测。

摘要：

阿齐兹和豪尔认为量子物质与经典引力场的混合理论可在两个大质量系统间产生纠缠。在他们的构建中，分支依赖贡献通过固定经典引力势中量子物质场的传播子在四阶出现。我们在相同微扰量子场论框架内分析此机制，表明该效应不应被解释为与BMV型见证相关意义上的经典引力介导的纠缠。

英文摘要：

Aziz and Howl have argued that a hybrid theory with quantum matter and a classical gravitational field can generate entanglement between two massive systems. In their construction, the branch-dependent contribution appears at fourth order through propagators of the quantum matter field in a fixed classical gravitational potential. We analyse this mechanism within the same perturbative QFT framework and show that the effect should not be interpreted as classical gravity mediating entanglement in the sense relevant to BMV-type witnesses. The non-separable term relies on a quantum-matter exchange channel between the two interferometers and is present only when the two systems are modelled as excitations of the same matter field. If distinct, non-interconverting matter fields describe the systems, the corresponding cross-propagator is absent and the Aziz-Howl entangling diagram vanishes. The effect relies on coherent propagation amplitudes of the quantum matter field between the two interferometers, together with postselection onto the original localised branch subspace. Moreover, the inference of entanglement is made after projecting the full QFT evolution onto a restricted final subspace containing the original localised $N$-particle branch states. This projection removes precisely the sectors that would record matter-field contamination, mode deformation, or exchange between the two interferometers. We therefore argue that the Aziz-Howl mechanism is a matter-sector cross-talk effect in a classical background, not entanglement mediated by classical gravitational degrees of freedom. Having identified the channel responsible for the Aziz-Howl contribution, we predict that it can be eliminated by using distinct, non-interconverting matter species in the two interferometers, or by inserting a barrier that suppresses matter-field propagation between them.

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