Bosonic Continuum Theory of One-Dimensional Lattice Anyons.

  title={Bosonic Continuum Theory of One-Dimensional Lattice Anyons.},
  author={Martin Bonkhoff and Kevin J{\"a}gering and Sebastian Eggert and Axel Pelster and Michael Thorwart and Thore Posske},
  journal={Physical review letters},
  volume={126 16},
Anyons with arbitrary exchange phases exist on 1D lattices in ultracold gases. Yet, known continuum theories in 1D do not match. We derive the continuum limit of 1D lattice anyons via interacting bosons. The theory maintains the exchange phase periodicity fully analogous to 2D anyons. This provides a mapping between experiments, lattice anyons, and continuum theories, including Kundu anyons with a natural regularization as a special case. We numerically estimate the Luttinger parameter as a… 
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