基于 Jekyll-Theme-Chirpy v7.6.0 的个性化设置：MathJax 配置、侧边栏样式、页脚站点统计、自定义 Statement 和 Details 元素样式、LQIP 和反色图片的 Python 实现等内容。

之前仔细读过 Shadows of Anyons and the Entanglement Structure of Topological Phases 这篇 paper1，但是隔了一段时间之后，再去看相关 paper，还是会发现很多概念、逻辑不甚熟悉，痛定思痛，决定还是认真写一份 note，目的有二： 把 Shadows of Anyons 这篇 paper 的图像和逻辑整理成我...

John M. Lee 的 Introduction to Topological Manifolds（拓扑流形引论）习题选做

AKLT 模型（Affleck-Kennedy-Lieb-Tasaki 模型）作为量子自旋链中的一个重要模型，不仅为理解 Haldane 相提供了严格的理论实例，也为研究量子纠缠、对称性保护拓扑相与边界效应提供了典型范例。自 1980 年代以来，AKLT 模型在量子信息和量子计算等领域的理论研究中不断显示出其独特的价值，尤其是其基态的 Valence Bond Solid (VBS) 态，为...

1. Introduction The addition of angular momenta is a fundamental problem in modern physics. For instance, when dealing with systems composed of multiple particles, such as atoms with multiple elect...

Consider two infinite grounded metal planes with an angle $\alpha$ between them, as shown in the following figure. A point charge $Q$ is located at $(r_0,\phi_0,0)$ in cylindrical coordinates, wher...

Question: Try to prove the following integral: [\int_{0}^{\infty} z^{\mu/2} \mathrm{e}^{-z} L_{n}^{\mu}(z)J_{\mu}\left(2\sqrt{xz}\right) \mathrm{d}z = \frac{1}{n!} x^{n+\mu/2}\mathrm{e}^{-x},] wh...