Simple_iTEBD_For_Inf_TransferMatrix

Simple iTEBD For Infinite Transfer Matrix,
Using Transfer Matrix method with iTEBD to exactly compute PartitionFunction PerSites On 2D-Infinite Lattice System.

Seeking For More Initial Version codes of TensorNetwork :

• https://www.tensors.net/

Before trying to under what tensorgraphs behind codes actually do,
We strongly recommand you to Read this Paper & Memorize All the Graphs on

• https://journals.aps.org/prb/abstract/10.1103/PhysRevB.78.155117 (a)
• https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.101.250602 (b)

To Know more of TensorNetwork methods applied on Partition Function, Papers ones can refer to :

• Coarse-Graining RG: ( RG designed For Physists.... )

  • TRG, Levin & Nave, PRL (2007)
  • BTRG, Daiki Adachi, Tsuyoshi Okubo, and Synge Todo, PRB(2022)
  • SRG/HOTRG/HOSRG, Z. Y. Xie, et. al. PRL (2009), PRB (2012), PRB (2012)
  • TNR, Evenbly & Vidal, PRL (2015)
  • Loop-TNR: S. Yang, et. al. PRL (2017)
  • \Partial TRG: B.-B. Chen, et. al. ArxivTRG: B.-B. Chen, et. al. Arxiv

• TransferMatrix Method (Actually to run this File you only need these ^ _ ^ ):

  • TMRG, T. Xiang, PRB (1997)
  • TEBD, G. Vidal, PRL (2007)
  • VUMPS, Zauner-Stauber, et. al. PRB (2012)

• Corner Transfer Matrix RG:

  • Symmetric case: Nishino, Okunishi, JPSJ (1996)
  • Directional-CTM: Orus, Vidal, PRB (2009)
  • Fixed-point CTMRG: Fishman, et. al. PRB (2018)

Key Graphs should be Pointed out:

• From (a): < \psi_L| T |\psi_R > / < \psi_L | \psi_R >

  

• From (b): 两种转移矩阵的最终收缩

  

• From Tensor.net (Full Indice Notation for iTEBD):
  Check more detail on PDF Notation_iTEBD