流氓量子引力波
Rogue quantum gravitational waves
摘要：
本文提出了流氓量子引力波的存在性并讨论了其性质。更具体地说，我们数值求解薛定谔-牛顿方程组使用的频谱方案与$4^{th}$阶龙格库塔时间积分器，并表明，施加在波函数$Ψ$，或引力场$Φ$的噪声，触发调制不稳定性，将单色波场变成混乱的表现出高和意想不到的波。这种波可以被称为流氓量子引力波。我们讨论的特点和发生的概率，这样的流氓波的薛定谔-Netwon方程的框架。我们提出了研究流氓量子引力波和流氓引力波的替代方法。
英文摘要：
In this paper, we propose the existence and discuss the properties of rogue quantum gravitational waves. More specifically, we numerically solve the Schrödinger-Newton system of equations using a spectral scheme with a $4^{th}$ order Runge-Kutta time integrator and show that noise either imposed on wave function $Ψ$, or the gravitational field $Φ$, triggers the modulation instability which turns the monochromatic wave fields into chaotic ones exhibiting high and unexpected waves. Such waves can be named as rogue quantum gravitational waves. We discuss the characteristics and probabilities of occurrences of such rogue waves in the frame of the Schrödinger-Netwon equations. We suggest alternative methods for studying rogue quantum gravitational waves and rogue gravitational waves.
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