One-Dimensional Quantum Systems with Ground State of Jastrow Form Are Integrable.

@article{Yang2022OneDimensionalQS,
  title={One-Dimensional Quantum Systems with Ground State of Jastrow Form Are Integrable.},
  author={Jing Yang and Adolfo del Campo},
  journal={Physical review letters},
  year={2022},
  volume={129 15},
  pages={
          150601
        }
}
Exchange operator formalism describes many-body integrable systems using phase-space variables involving an exchange operator that acts on any pair of particles. We establish an equivalence between models described by exchange operator formalism and the complete infinite family of parent Hamiltonians describing quantum many-body models with ground states of Jastrow form. This makes it possible to identify the invariants of motion for any model in the family and establish its integrability, even… 
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