论文标题
Schrödinger的猫是Sitter Spacetime
Schrödinger's cat for de Sitter spacetime
论文作者
论文摘要
量子重力有望包含量子叠加中半经典时空几何形状的描述。迄今为止，尚未设计这种叠加的框架。在这里，我们为在量子叠加中的时空歧管上的量子探针（即Unruh-Dewitt探测器）的响应提供了新的现象学描述。通过引入额外的自由度，可以将希尔伯特空间分配给时空，从而使其存在于空间或曲率状态的叠加中。将这种方法应用于静态的保姆空间，我们发现量子时空产生的效果在操作上与Minkowski SpaceTime中Rindler轨迹叠加引起的效果没有区别。这种量子空间与扁平空间中轨迹叠加的区分性降低至超张振幅之间的场相关性的等效性或非等效性。
Quantum gravity is expected to contain descriptions of semiclassical spacetime geometries in quantum superpositions. To date, no framework for modelling such superpositions has been devised. Here, we provide a new phenomenological description for the response of quantum probes (i.e. Unruh-deWitt detectors) on a spacetime manifold in quantum superposition. By introducing an additional control degree of freedom, one can assign a Hilbert space to the spacetime, allowing it to exist in a superposition of spatial or curvature states. Applying this approach to static de Sitter space, we discover scenarios in which the effects produced by the quantum spacetime are operationally indistinguishable from those induced by superpositions of Rindler trajectories in Minkowski spacetime. The distinguishability of such quantum spacetimes from superpositions of trajectories in flat space reduces to the equivalence or non-equivalence of the field correlations between the superposed amplitudes.
