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1 - Introduction

Published online by Cambridge University Press:  18 January 2024

Tao Xiang
Affiliation:
Chinese Academy of Sciences, Beijing
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Summary

This chapter starts with an introductory survey on the physical background and historical events that lead to the emergence of the density matrix renormalization group (DMRG) and its tensor network generalization. We then briefly overview the major progress on the renormalization group methods of tensor networks and their applications in the past three decades. The tensor network renormalization was initially developed to solve quantum many-body problems, but its application field has grown constantly. It has now become an irreplaceable tool for investigating strongly correlated problems, statistical physics, quantum information, quantum chemistry, and artificial intelligence.

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Publisher: Cambridge University Press
Print publication year: 2023

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  • Introduction
  • Tao Xiang, Chinese Academy of Sciences, Beijing
  • Book: Density Matrix and Tensor Network Renormalization
  • Online publication: 18 January 2024
  • Chapter DOI: https://doi.org/10.1017/9781009398671.002
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  • Introduction
  • Tao Xiang, Chinese Academy of Sciences, Beijing
  • Book: Density Matrix and Tensor Network Renormalization
  • Online publication: 18 January 2024
  • Chapter DOI: https://doi.org/10.1017/9781009398671.002
Available formats
×

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.

  • Introduction
  • Tao Xiang, Chinese Academy of Sciences, Beijing
  • Book: Density Matrix and Tensor Network Renormalization
  • Online publication: 18 January 2024
  • Chapter DOI: https://doi.org/10.1017/9781009398671.002
Available formats
×