Construction of many-body-localized models where all the eigenstates are matrix-product-states

  title={Construction of many-body-localized models where all the eigenstates are matrix-product-states},
  author={C. Monthus},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  • C. Monthus
  • Published 28 October 2019
  • Mathematics, Physics
  • Journal of Statistical Mechanics: Theory and Experiment
The inverse problem of ‘eigenstates-to-Hamiltonian’ is considered for an open chain of N quantum spins in the context of many-body-localization. We first construct the simplest basis of the Hilbert space made of 2N orthonormal matrix-product-states (MPS), that will thus automatically satisfy the entanglement area-law. We then analyze the corresponding N local integrals of motions (LIOMs) that can be considered as the local building blocks of these 2N MPS, in order to construct the parent… 
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