论文标题
重力波的共振检测器中的普遍不确定性原理
Generalized uncertainty principle in resonant detectors of gravitational waves
论文作者
论文摘要
通过高级LIGO检测器直接检测引力波，已经打开了一种新的“窗口”到量子重力现象学。目前，这些检测器达到了检测长度变化（$Δl$），$ \ MATHCAL {o} \ of 10^{ - 17} -10^{ - 21} $米的灵敏度。最近，对无量纲参数$β_0$进行了更为严格的上行，并具有广义不确定性原理的效果，这对应于中间长度尺度$ l_ {im} = \ sqrt {β_0} l_ {pl} l_ {pl} l_ {pl} l_ {pl} \ sim 10^{ - 23} m $。因此，可以通过观察不久的将来在此类共振探测器中观察声子模式的振动的响应来实现广义不确定性原理的风味。因此，在本文中，我们计算了这些检测器在广义不确定性原理框架中这些检测器上传入的重力波引起的共振频率和过渡速率。据观察，普遍的不确定性原理的作用在时间独立的和依赖的部分中都具有其特征性，而重力波谐波振荡器哈密顿量。我们还对GUP参数进行上限估计。
With the direct detection of gravitational waves by advanced LIGO detector, a new "window" to quantum gravity phenomenology has been opened. At present, these detectors achieve the sensitivity to detect the length variation ($δL$), $\mathcal{O} \approx 10^{-17}-10^{-21}$ meter. Recently a more stringent upperbound on the dimensionless parameter $β_0$, bearing the effect of generalized uncertainty principle has been given which corresponds to the intermediate length scale $l_{im}= \sqrt{β_0} l_{pl} \sim 10^{-23} m$. Hence the flavour of the generalized uncertainty principle can be realised by observing the response of the vibrations of phonon modes in such resonant detectors in the near future. In this paper, therefore, we calculate the resonant frequencies and transition rates induced by the incoming gravitational waves on these detectors in the generalized uncertainty principle framework. It is observed that the effects of the generalized uncertainty principle bears its signature in both the time independent and dependent part of the gravitational wave-harmonic oscillator Hamiltonian. We also make an upper bound estimate of the GUP parameter.
