标题： 暴胀动力学的数值模拟：慢滚及其之外 显示英文标题

标题： Numerical simulations of inflationary dynamics: slow roll and beyond

摘要： 这里给出了对一个与引力最小耦合的单个规范标量场的暴胀动力学的数值模拟。 我们以宇宙时间$t$为基准，详细说明了描述暴胀动力学的基本方程，并定义了一组便于数值分析的无量纲变量。 然后我们提供了一个链接，可以访问我们在GitHub上的简单数值Python代码，该代码可用于模拟背景动力学以及暴胀期间线性扰动的演化。 该代码可以计算给定暴胀势能$V(\phi)$的标量和张量功率谱。 我们讨论了一个具体的算法，用于各种目的使用该代码，特别是用于计算原初黑洞和标量诱导引力波背景下的增强标量功率谱。 我们还比较了文献中用于计算标量涨落的不同变量的效率。 我们计划扩展该框架，以模拟多个不同量的动力学，包括在不久的将来计算标量诱导的二阶张量功率谱。 显示英文摘要

摘要： Numerical simulations of the inflationary dynamics are presented here for a single canonical scalar field minimally coupled to gravity. We spell out the basic equations governing the inflationary dynamics in terms of cosmic time $t$ and define a set of dimensionless variables convenient for numerical analysis. We then provide a link to our simple numerical Python code on GitHub that can be used to simulate the background dynamics as well as the evolution of linear perturbations during inflation. The code computes both scalar and tensor power spectra for a given inflaton potential $V(\phi)$. We discuss a concrete algorithm to use the code for various purposes, especially for computing the enhanced scalar power spectrum in the context of Primordial Black Holes and scalar-induced Gravitational Waves. We also compare the efficiency of different variables used in the literature to compute the scalar fluctuations. We intend to extend the framework to simulate the dynamics of a number of different quantities, including the computation of scalar-induced second-order tensor power spectrum in the near future.