Graph-theory treatment of one-dimensional strongly repulsive fermions

  title={Graph-theory treatment of one-dimensional strongly repulsive fermions},
  author={Jean Decamp and Jiangbin Gong and Huanqian Loh and Christian Miniatura},
  journal={Physical Review Research},
One-dimensional atomic mixtures of fermions can effectively realize spin chains and thus constitute a clean and controllable platform to study quantum magnetism. Such strongly correlated quantum systems are also of sustained interest to quantum simulation and quantum computation due to their computational complexity. In this article, we exploit spectral graph theory to completely characterize the symmetry properties of one-dimensional fermionic mixtures in the strong interaction limit. We also… 

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