基于 Jekyll-Theme-Chirpy v7.0.0 的个性化方案介绍：MathJax 配置、侧边栏样式、页脚站点统计、背景动画、自定义新的 prompt 和 details 元素样式、LQIP 和反色图片的 Python 实现等内容。

AKLT 模型（Affleck-Kennedy-Lieb-Tasaki 模型）作为量子自旋链中的一个重要模型，不仅在凝聚态物理中为拓扑量子相变的研究开辟了新路径，也为理解量子纠缠、拓扑序与边界效应提供了典型的理论范例。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，为未来...

Our theory of many-particle systems at zero temperature made extensive use of the single-particle Green’s function, which was expressed as a perturbation expansion in the interaction picture. Knowl...

We have got the expression of the exact Green’s function in the interaction picture: [\begin{equation} iG_{\alpha\beta}(x,x’) = \frac{\ev{\hat{\mathsf{T}}\qty[\hat{\psi}{I\alpha}(x)\hat{\psi}{...

Preceding posts defined the single-particle Green’s function and exhibited its relation to observable properties. However, we still do not know how to calculate $G$ for nontrivial physical system. ...

In this post, we discuss more analytic properties of single-particle Green’s functions. Moreover, we will derive the Lehmann representation of single-particle Green’s functions (and retarded and ad...

My ring theory notes while studying abstract algebra. Ring theory explores various properties and structures within rings, such as subrings, ideals, homomorphisms, quotient rings, and the structure...

My group theory notes while studying abstract algebra. Group theory studies the algebraic structures known as groups, key concepts include group operations, homomorphisms, isomorphisms, subgroups, ...

👇 在此下载本文对应的 Jupyter Notebook 和 html 文件 sec6_numpy_introduction.ipynb sec6_numpy_introduction.html NumPy（Numerical Python） 是 Python 语言的一个扩展程序库，支持大量的维度数组与矩阵运算，此外也针对数组运算提供大量的数学函数库。它主要用...

👇 在此下载本文对应的 Jupyter Notebook 和 html 文件 sec5_list_tuple_set_dictionary.ipynb sec5_list_tuple_set_dictionary.html List 列表 Python 支持多种复合数据类型，可以将不同元素组合在一起，最常见的是列表，用方括号标注，逗号分隔的一组值。注意列表可以...