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 noncovariant 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.

中文翻译：

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协变带限标量场中的局域和纠缠收获


在光滑流形的量子场论中对高能量的考虑导致了广义不确定性原理和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，而不仅仅是一个数学工具，并且应该是洛伦兹不变量。在本文中，我们研究了受协变带限（最小长度）约束的场中的双量子比特通信和纠缠收集，并介绍了该带限引起的变化。我们发现带限以不同于非协变带限或其他量子光学近似的方式引入了非局域和非因果通信。我们还观察到，这个协变频带限制在时间和时间顺序上引入了不确定性，其异常行为归因于虚拟粒子的行为被协变截止改变。