Phonon-phonon interactions due to non-linear effects in a linear ion trap
Cyrille Marquet, Ferdinand Schmidt-Kaler, Daniel F. V. James
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, alternatively, 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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