Multipartite entanglement measures and quantum criticality from matrix and tensor product states

@article{Huang2010MultipartiteEM,
  title={Multipartite entanglement measures and quantum criticality from matrix and tensor product states},
  author={Ching-Yu Huang and Feng-Li Lin},
  journal={Physical Review A},
  year={2010},
  volume={81},
  pages={032304}
}
We compute the multipartite entanglement measures such as the global entanglement of various one- and two-dimensional quantum systems to probe the quantum criticality based on the matrix and tensor product states (MPSs and TPSs). We use the infinite time-evolving block decimation (iTEBD) method to find the ground states numerically in the form of MPSs and TPSs, and then evaluate their entanglement measures by the method of tensor renormalization group (TRG). We find that these entanglement… 
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