论文标题
Minkowski时空的量子叠加
Quantum superpositions of Minkowski spacetime
论文作者
论文摘要
在任何预期的量子重力理论中，结合量子叠加的基本概念和时空的基本概念应该是有意义的，以获得所谓的“时空叠加”。在这里，我们考虑了具有不同特征长度的定期识别的Minkowski时空的叠加（即具有周期性边界条件的\ Minkowski SpaceTime）所产生的。通过将相对论量子物质耦合到这种时空背景（我们使用Unruh-Dewitt粒子探测器模型）上的字段，我们能够展示一个人如何在原理中“测量”这种时空产生的现场理论效应。我们表明，检测器的响应以超塑性周期长度尺度的合理比率表现出不连续的共鸣。
Within any anticipated unifying theory of quantum gravity, it should be meaningful to combine the fundamental notions of quantum superposition and spacetime to obtain so-called "spacetime superpositions": that is, quantum superpositions of different spacetimes not related by a global coordinate transformation. Here we consider the quantum-gravitational effects produced by superpositions of periodically identified Minkowski spacetime (i.e.\ Minkowski spacetime with a periodic boundary condition) with different characteristic lengths. By coupling relativistic quantum matter to fields on such a spacetime background (which we model using the Unruh-deWitt particle detector model), we are able to show how one can in-principle "measure" the field-theoretic effects produced by such a spacetime. We show that the detector's response exhibits discontinuous resonances at rational ratios of the superposed periodic length scale.
