论文标题
通过量子噪声测试广义不确定性原理
Testing Generalised Uncertainty Principles through Quantum Noise
论文作者
论文摘要
受到量子重力的几种方法的动机，有大量关于广义不确定性原则的文献，尤其是通过修改规范位置 - 摩托明的换向关系。这些修改的关系中的一些也与可能被认为具有任何物理理论的一般原则一致。这种修改后的换向因子具有明显的可观察到的后果。在这里，我们研究了一定经常研究的修改器的换向器的光力学系统的嘈杂行为。从桌面光学机械实验中的辐射压力噪声以及晚期Ligo的位置噪声谱的观察结果，我们得出了修改后的换向器上的边界。我们发现如何调整此类实验以在此类界限上提供显着改进，从而超过亚原子测量值的实验。
Motivated by several approaches to quantum gravity, there is a considerable literature on generalised uncertainty principles particularly through modification of the canonical position-momentum commutation relations. Some of these modified relations are also consistent with general principles that may be supposed of any physical theory. Such modified commutators have significant observable consequences. Here we study the noisy behaviour of an optomechanical system assuming a certain commonly studied modified commutator. From recent observations of radiation pressure noise in tabletop optomechanical experiments as well as the position noise spectrum of Advanced LIGO we derive bounds on the modified commutator. We find how such experiments can be adjusted to provide significant improvements in such bounds, potentially surpassing those from sub-atomic measurements.
