论文标题
具有台阶速度曲线的分散模型中的粒子创建和纠缠
Particle Creation and Entanglement in Dispersive Model with Step Velocity Profile
论文作者
论文摘要
我们在具有潜意识分散关系的分散模型中研究了粒子的产生和纠缠结构。假设背景流的步骤函数空间速度曲线，则通过匹配方法准确获得了无质量标量场的模式函数。为亚音速和跨性流动案例计算了创建颗粒的功率谱。对于跨性别案例，声音地平线存在并创建的粒子显示了低频区域的普朗克分布，但在非线性分散引入的截止频率附近的高频区域的热特性消失。对于亚音速案例，尽管不存在声音地平线，但由于高频区域的非线性分散以及功率谱的近似热特性而出现有效的组速度范围。还讨论了粒子创建与纠缠之间的关系。
We investigate particle creation and entanglement structure in a dispersive model with subliminal dispersion relation. Assuming the step function spatial velocity profile of the background flow, mode functions for a massless scalar field is exactly obtained by the matching method. Power spectrums of created particles are calculated for the subsonic and the transsonic flow cases. For the transsonic case, the sonic horizon exists and created particles show the Planckian distribution for low frequency region but the thermal property disappears for high frequency region near the cutoff frequency introduced by the non-linear dispersion. For the subsonic case, although the sonic horizon does not exist, the effective group velocity horizon appears due to the non-linear dispersion for high frequency region and approximate thermal property of the power spectrum arises. Relation between particle creation and entanglement between each mode is also discussed.
