Many-body localization in presence of cavity mediated long-range interactions

@article{Sierant2019ManybodyLI,
  title={Many-body localization in presence of cavity mediated long-range interactions},
  author={Piotr Sierant and Krzysztof Biedro'n and Giovanna Morigi and Jakub J. Zakrzewski},
  journal={SciPost Physics},
  year={2019}
}
We show that a one-dimensional Hubbard model with all-to-all coupling may exhibit many-body localization in the presence of local disorder. We numerically identify the parameter space where many-body localization occurs using exact diagonalization and finite-size scaling. The time evolution from a random initial state exhibits features consistent with the localization picture. The dynamics can be observed with quantum gases in optical cavities, localization can be revealed through the time… 
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