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

@article{Monthus2019ConstructionOM, 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}, year={2019}, volume={2020} }

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…

## One Citation

### Optimal parent Hamiltonians for time-dependent states

- PhysicsPhysical Review A
- 2021

Davide Rattacaso,1 Gianluca Passarelli,1, 2 Antonio Mezzacapo,3 Procolo Lucignano,1 and Rosario Fazio4, 1 Dipartimento di Fisica, Università di Napoli “Federico II”, Monte S. Angelo, I-80126 Napoli,…

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