Density Matrix and Tensor Network Renormalization
Autor Tao Xiangen Limba Engleză Hardback – 30 aug 2023
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Specificații
ISBN-13: 9781009398701
ISBN-10: 1009398709
Pagini: 470
Dimensiuni: 252 x 178 x 32 mm
Greutate: 1.01 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
ISBN-10: 1009398709
Pagini: 470
Dimensiuni: 252 x 178 x 32 mm
Greutate: 1.01 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Notă biografică
Descriere
An introduction to tensor network renormalization, a powerful tool for the study of quantum many-body problems and complex systems.