论文标题
表面波中未造成效应的痕迹
Traces of the Unruh effect in surface waves
论文作者
论文摘要
我们在重力波中寻找临时效应的经典痕迹。为此，我们开始考虑在水盆地表面上的重力波状态，并计算表面高度场的傅立叶变换的两点和四点函数相对于加速的观察者。为了近似实验室可实现的条件，考虑了盆地边界和可能与高斯的偏差的影响。最终，我们使盆地无限大，以便在我们的经典结果与在自由空间中得出的量子结果之间接触。我们希望我们的结果有助于加强临时效应与这种经典类似物之间的桥梁。
We look for classical traces of the Unruh effect in gravity waves. For this purpose, we start considering a white noise state of gravity waves on the surface of a water basin and calculate the two- and four-point functions of the Fourier transform of the surface-height field with respect to accelerated observers. The influence of the basin boundaries and possible deviations from Gaussianity in the white noise state are considered in order to approximate conditions attainable in the laboratory. Eventually, we make the basin infinitely large in order to make contact between our classical results and quantum ones derived in free space. We hope that our results help to strengthen the bridge between the Unruh effect and this classical analog.
