论文标题
宇宙学的复杂性
Cosmological Complexity
论文作者
论文摘要
我们使用挤压真空状态的语言计算标态曲率扰动的演变的量子电路复杂性。特别是，我们构建了一个简单的宇宙学模型，该模型由De Sitter扩展的早期时期组成，然后是辐射主导的时代，并跟踪整个历史上复杂性的演变。在早期De Sitter膨胀期间，复杂性随着地平线外的模式的E折数量而线性增长。复杂性的演变还表明，在这个时代，宇宙的行为就像混乱的系统一样，为此我们提出了争夺时间和Lyapunov指数。然而，在以辐射为主时代的时代，复杂性降低了，直到地平线重新进入后“冻结”，导致宇宙的“脱复杂”。
We compute the quantum circuit complexity of the evolution of scalar curvature perturbations on expanding backgrounds, using the language of squeezed vacuum states. In particular, we construct a simple cosmological model consisting of an early-time period of de Sitter expansion followed by a radiation-dominated era and track the evolution of complexity throughout this history. During early-time de Sitter expansion the complexity grows linearly with the number of e-folds for modes outside the horizon. The evolution of complexity also suggests that the Universe behaves like a chaotic system during this era, for which we propose a scrambling time and Lyapunov exponent. During the radiation-dominated era, however, the complexity decreases until it "freezes in" after horizon re-entry, leading to a "de-complexification" of the Universe.
