Tao Xiang (Beijing Chinese Academy of Sciences)

Density Matrix and Tensor Network Renormalization

• Gebundenes Buch

Produktbeschreibung

This book provides a comprehensive introduction to the theory of tensor network renormalization for the first time. An accessible primer for scientists and engineers, this book would also be ideal as a reference text for a graduate course in this area.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 470
• Erscheinungstermin: September 2023
• Englisch
• Abmessung: 246mm x 173mm x 27mm
• Gewicht: 1026g
• ISBN-13: 9781009398701
• ISBN-10: 1009398709
• Artikelnr.: 67791629

Autorenporträt

Tao Xiang is Professor at the Institute of Physics, Chinese Academy of Sciences (CAS), and specializes in condensed matter theory. He is a CAS academician and a fellow of the World Academy of Sciences, and has received the He-Leung-He-Lee Prize for Scientific and Technological Progress, among other awards.

Inhaltsangabe

Preface
Abbreviations
Unit used
Notations and graphical representations
1. Introduction
2. Basic algebra of tensors
3. Tensor network representation of classical statistical methods
4. Tensor-network ansatz of wave functions
5. Criterion of truncation: symmetric systems
6. Real-space DMRG
7. Implementation of symmetries
8. DMRG with non-local basis states
9. Matrix Product States
10. Infinite Matrix Product States
11. Determination of MPS
12. Continuous Matrix Product States
13. Classical Transfer Matrix Renormalization
14. Criterion of truncation: non-symmetric systems
15. Renormalization of quantum transfer matrices
16. MPS solution of QTMRG
17. Dynamical Correlation Functions
18. Time-dependent methods
19. Tangent-space operations
20. Tangent-space approaches
21. Tree Tensor Network States
22. Two-dimensional tensor network states
23. Coarse graining tensor renormalization
Appendix A
References
Index.