协变带限标量场中的局域性与纠缠收割
Locality and entanglement harvesting in covariantly bandlimited scalar fields
AI总结：
本文研究了受协变带限（最小长度）约束的标量场中的双量子比特通信与纠缠收割，发现该带限引入了非局域性、非因果通信以及时间不确定性。
摘要：
在光滑流形上的量子场论中对高能的考量，导出了广义不确定性原理以及量子引力场景中物理最小长度的可能性。在这些模型中，最小长度将是一个物理极限，而不仅是数学工具，且应是洛伦兹不变的。本文研究了在受协变带限（最小长度）约束的场中的双量子比特通信与纠缠收割，并给出了该带限引发的变化。我们发现，该带限引入了非局域性和非因果通信，其方式不同于非协变带限或其他量子光学近似。我们还观察到，该协变带限在时间与时序上引入了不确定性，这种异常行为归因于虚粒子行为被协变截断所改变。
英文摘要：
Considerations of high energies in quantum field theories on smooth manifolds have led to generalized uncertainty principles and the possibility of a physical minimal length in quantum gravitational scenarios. In these models, the minimal length would be a physical limit, not just a mathematical tool, and should be Lorentz invariant. In this paper, we study two-qubit communication and entanglement harvesting in a field subject to a covariant bandlimit (minimum length) and present the changes induced by this bandlimit. We find the bandlimit introduces nonlocality and acausal communication in a manner unlike non-covariant bandlimits or other quantum optical approximations. We also observe that this covariant bandlimit introduces uncertainties in time and temporal ordering with the unusual behavior attributed to the behavior of virtual particles being modified by the covariant cutoff.
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