Klein tunneling and Dirac potentials in trapped ions

@article{Casanova2010KleinTA,
  title={Klein tunneling and Dirac potentials in trapped ions},
  author={Jorge Casanova and Juan Jos{\'e} Garc{\'i}a-Ripoll and Rene Gerritsma and Christian F. Roos and Enrique Solano},
  journal={Physical Review A},
  year={2010},
  volume={82},
  pages={020101}
}
We propose the quantum simulation of the Dirac equation with potentials, allowing the study of relativistic scattering and Klein tunneling. This quantum relativistic effect permits a positive-energy Dirac particle to propagate through a repulsive potential via the population transfer to negative-energy components. We show how to engineer scalar, pseudoscalar, and other potentials in the $1+1$ Dirac equation by manipulating two trapped ions. The Dirac spinor is represented by the internal states… 
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