Phonon–phonon interactions due to non-linear effects in a linear ion trap

@article{Marquet2003PhononphononID,
  title={Phonon–phonon interactions due to non-linear effects in a linear ion trap
},
  author={Cyrille Marquet and Ferdinand Schmidt-Kaler and Daniel F. V. James},
  journal={Applied Physics B},
  year={2003},
  volume={76},
  pages={199-208}
}
Abstract.We examine in detail the theory of the intrinsic non-linearities in the dynamics of trapped ions due to the Coulomb interaction. In particular, the possibility of mode–mode coupling, which can be a source of decoherence in trapped ion quantum computation, or can be exploited for parametric down-conversion of phonons, is discussed and conditions under which such coupling is possible are derived. 
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