Exact holographic tensor networks for the Motzkin spin chain

  title={Exact holographic tensor networks for the Motzkin spin chain},
  author={Rafael N. Alexander and Glen Evenbly and Israel Klich},
The study of low-dimensional quantum systems has proven to be a particularly fertile field for discovering novel types of quantum matter. When studied numerically, low-energy states of low-dimensional quantum systems are often approximated via a tensor-network description. The tensor network's utility in studying short range correlated states in 1D have been thoroughly investigated, with numerous examples where the treatment is essentially exact. Yet, despite the large number of works… 

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  • A. Ferris
  • Computer Science
    Physical review letters
  • 2014
A new class of tensor network is proposed that is efficiently contractible and able to represent many-body systems with local entanglement that is greater than the area law and can be used as generic structures to variationally describe more complicated systems, such as interacting fermions.