Time-evolving a matrix product state with long-ranged interactions

@article{Zaletel2014TimeevolvingAM,
  title={Time-evolving a matrix product state with long-ranged interactions},
  author={Michael P. Zaletel and Roger S. K. Mong and C. Karrasch and Joel E. Moore and F. Pollmann},
  journal={Physical Review B},
  year={2014},
  volume={91},
  pages={165112}
}
We introduce a numerical algorithm to simulate the time evolution of a matrix product state under a long-ranged Hamiltonian in moderately entangled systems. In the effectively one-dimensional representation of a system by matrix product states, long-ranged interactions are necessary to simulate not just many physical interactions but also higher-dimensional problems with short-ranged interactions. Since our method overcomes the restriction to short-ranged Hamiltonians of most existing methods… 

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