Density Matrix and Tensor Network Renormalization（密度矩阵与张量网络重正化）

作者：向涛

作品简介

本书介绍了过去三十年发展起来的张量网络态重正化群理论。本书首先介绍了张量网络态的分解和取值所需的张量代数基础。之后，本书又介绍了量子态的张量网络表示、量子算子、配分函数（例如矩阵乘积态）、投影纠缠对态等。 接下来，本书又介绍了密度矩阵重正化群（DMRG）及其各

出版社：北京大学出版社

出版时间：未提供

ISBN：9787301353875

作品目录

1. “中外物理学精品书系”（三期）编委会
2. 序言
3. Preface
4. Unit Used
5. Notations and Graphical Representations
6. List of Abbreviations
7. 1Introduction
8. 2Basic Algebra of Tensors
9. 3Tensor Network Representation of Classical Statistical Models
10. 4Tensor Network Representation of Operators
11. 5Tensor Network Ansatz of Wave Functions
12. 6 Criterion of Truncation: Symmetric Systems
13. 7 Real-Space DMRG
14. 8Implementation of Symmetries
15. 9DMRG with Nonlocal Basis States
16. 10 Matrix Product States
17. 11Infinite Matrix Product States
18. 12Determination of MPS
19. 13 Continuous Matrix Product States
20. 14Classical Transfer Matrix Renormalization
21. 15 Criterion of Truncation: Nonsymmetric Systems
22. 16Renormalization of Quantum Transfer Matrices
23. 17 MPS Solution of QTMRG
24. 18Dynamical Correlation Functions
25. 19Time-Dependent Methods
26. 20 Tangent-Space Approaches
27. 21Tree Tensor Network States
28. 22Two-Dimensional Tensor Network States
29. 23Coarse-Graining Tensor Renormalization
30. Appendix Other Numerical Methods
31. References
32. Index