论文标题
曲面产生的“经典”连贯状态
"Classical" coherent state generated by curved surface
论文作者
论文摘要
类似的相干状态是从本文弯曲表面上的经典光场推导的。高斯激光束作为一种基本模式，由于它们在平面中的固有衍射而无法充分模拟连贯的状态。但是，当它在称为恒定高斯曲率表面（CGC）的表面上传播时，情况会有所不同。通过概括Feynman路径积分的方法，这里证明了等效的相干态解决方案来描述梁传播。 Schrodinger方程的时间演化类似地翻译成该推导中的空间传输，我们获得了在弯曲表面上传播的量化动量的表达，该表面与高斯曲率$ k $的平方根成正比。此外，我们构建了与挤压状态相同的光束传播图片。我们希望这项研究可以对弯曲空间中的量子场有新的看法。
Analogous coherent states are deduced from classical optical fields on curved surface in this paper. The Gaussian laser beam, as a fundamental mode, cannot be adequately simulated by coherent states due to their inherent diffraction in flat space. But things will be different when it propagates on a surface with uniform curvature called the constant Gaussian curvature surface (CGCS). By generalizing the method of Feynman path integral, an equivalent coherent states solution is demonstrated here to describe the beam propagation. The temporal evolution of the Schrodinger equation is analogously translated into a spatial transmission in this derivation, we obtain the expression of quantized momentum transmitted on curved surface, which is proportional to the square root of the Gaussian curvature $K$. In addition, we build a beam propagation picture identical to the squeezed state. We hope this research can give a new view on the quantum field in curved space.
