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17 - MPS Solution of QTMRG

Published online by Cambridge University Press:  18 January 2024

Tao Xiang
Affiliation:
Chinese Academy of Sciences, Beijing
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Summary

This chapter reformulates QTMRG using the language of MPS and introduces the concept of bicanonical MPS and the method of biorthogonalization. The fixed-point equations for determining the local tensors of MPS in a translation-invariant system of one or more than one site in a unit cell are derived. The steps for solving these equations in the scheme of biorthonormalization are discussed.

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Chapter
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Publisher: Cambridge University Press
Print publication year: 2023

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  • MPS Solution of QTMRG
  • Tao Xiang, Chinese Academy of Sciences, Beijing
  • Book: Density Matrix and Tensor Network Renormalization
  • Online publication: 18 January 2024
  • Chapter DOI: https://doi.org/10.1017/9781009398671.018
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  • MPS Solution of QTMRG
  • Tao Xiang, Chinese Academy of Sciences, Beijing
  • Book: Density Matrix and Tensor Network Renormalization
  • Online publication: 18 January 2024
  • Chapter DOI: https://doi.org/10.1017/9781009398671.018
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • MPS Solution of QTMRG
  • Tao Xiang, Chinese Academy of Sciences, Beijing
  • Book: Density Matrix and Tensor Network Renormalization
  • Online publication: 18 January 2024
  • Chapter DOI: https://doi.org/10.1017/9781009398671.018
Available formats
×