Stability of the Enhanced Area Law of the Entanglement Entropy

@article{Mller2020StabilityOT,
  title={Stability of the Enhanced Area Law of the Entanglement Entropy},
  author={Peter M{\"u}ller and Ruth Schulte},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
We consider a multi-dimensional continuum Schrodinger operator which is given by a perturbation of the negative Laplacian by a compactly supported potential. We establish both an upper and a lower bound on the bipartite entanglement entropy of the ground state of the corresponding quasi-free Fermi gas. The bounds prove that the scaling behaviour of the entanglement entropy remains a logarithmically enhanced area law as in the unperturbed case of the free Fermi gas. The central idea for the… 
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