https://uynajgi.github.io/yuulibrary/tags/tensor-networks.htmlRecent content in Tensor-Networks on Yuunagi LibraryHugozh-CN© YuunagiSat, 11 Jul 2026 21:34:32 +0800https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/index.htmlSat, 11 Jul 2026 00:00:00 +0000https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/index.html<section class="book-cover"> <h1 class="book-cover-title">张量网络方法导论</h1> <p class="book-cover-subtitle">从多体量子系统到机器学习 · 第二版</p> <p class="book-cover-author">Timo Felser · Simone Montangero（编）</p> </section> <h2 id="目录">目录<a class="anchor" href="#%e7%9b%ae%e5%bd%95">#</a></h2> <div class="book-toc-list"> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/preface-2e.html"> <span class="toc-row-title">第二版前言</span> <span class="toc-row-desc">第二版新增内容：量子计算模拟、张量网络仿真与量子优势验证的最新进展。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/preface-1e.html"> <span class="toc-row-title">第一版前言</span> <span class="toc-row-desc">张量网络方法从多体量子物理到量子技术的入门指南。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/notations.html"> <span class="toc-row-title">符号与缩写表</span> <span class="toc-row-desc">本书使用的符号、缩写和数学记号汇总。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/part-1.html"> <span class="toc-row-title">第一部分 · 序章</span> <span class="toc-row-desc">多体量子问题概述，线性代数与数值微积分的基础工具。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch01.html"> <span class="toc-row-title">第1章 · 引言</span> <span class="toc-row-desc">多体量子问题的挑战、张量网络方法的动机与全书结构概览。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch02.html"> <span class="toc-row-title">第2章 · 线性代数</span> <span class="toc-row-desc">线性方程组、特征值问题、Lanczos方法等数值线性代数基础工具。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch03.html"> <span class="toc-row-title">第3章 · 数值微积分</span> <span class="toc-row-desc">经典数值积分、高斯求积、薛定谔方程的有限差分与谱方法求解。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/part-2.html"> <span class="toc-row-title">第二部分 · 多体问题</span> <span class="toc-row-desc">张量网络方法的核心：重整化群、张量网络基础与对称性。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch04.html"> <span class="toc-row-title">第4章 · 数值重整化群方法</span> <span class="toc-row-desc">从平均场理论到数值重整化群，再到密度矩阵重整化群（DMRG）的原始形式。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch05.html"> <span class="toc-row-title">第5章 · 张量网络方法</span> <span class="toc-row-desc">张量网络核心概念：张量分解、SVD、等距变换、纠缠与面积律。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch06.html"> <span class="toc-row-title">第6章 · 对称张量网络</span> <span class="toc-row-desc">利用对称性增强张量网络数值模拟效率，以及量子链路模型中的格点规范理论。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/part-3.html"> <span class="toc-row-title">第三部分 · 张量网络的实现</span> <span class="toc-row-desc">MPS、TTN 与 aTTN 的算法细节与工程实现。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch07.html"> <span class="toc-row-title">第7章 · 矩阵乘积态</span> <span class="toc-row-desc">矩阵乘积态（MPS）算法实现：DMRG、时间演化、TDVP等核心方法。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch08.html"> <span class="toc-row-title">第8章 · 树张量网络</span> <span class="toc-row-desc">树张量网络（TTN）：层级结构、优化算法与高维系统推广。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch09.html"> <span class="toc-row-title">第9章 · 增广树张量网络</span> <span class="toc-row-desc">增广树张量网络（aTTN）：突破面积律限制，解锁高维量子系统模拟。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/part-4.html"> <span class="toc-row-title">第四部分 · 应用</span> <span class="toc-row-desc">张量网络在量子相变、格点规范理论、非平衡物理与机器学习中的应用。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch10.html"> <span class="toc-row-title">第10章 · 量子相变</span> <span class="toc-row-desc">量子相变基础、Landau理论与纠缠测度在张量网络中的应用。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch11.html"> <span class="toc-row-title">第11章 · 哈密顿量格点规范理论</span> <span class="toc-row-desc">哈密顿量形式的格点规范理论：量子链路模型、高斯定律与张量网络模拟。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch12.html"> <span class="toc-row-title">第12章 · 非平衡过程</span> <span class="toc-row-desc">非平衡量子过程：绝热量子计算、Kibble-Zurek机制与多体量子最优控制。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch13.html"> <span class="toc-row-title">第13章 · 张量网络机器学习</span> <span class="toc-row-desc">张量网络在机器学习中的应用：MPS分类器与监督学习。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch14.html"> <span class="toc-row-title">附录A · 物理学家硬件速览</span> <span class="toc-row-desc">经典计算机硬件架构基础：CPU、GPU、内存层级与并行计算入门。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/tensor-network-methods/ch15.html"> <span class="toc-row-title">附录B · 物理学家软件速览</span> <span class="toc-row-desc">计算物理软件工程实践：版本控制、测试、文档与高性能计算。</span> <span class="toc-row-arrow">›</span> </a> </div>