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Keywords:

  • Ion-laser interaction;
  • rotating wave approximation;
  • effective Hamiltonians.

Abstract

We show that in the trapped ion-laser interaction all the regimes may be considered analytically. We may solve not only for different laser intensities, but also away from resonance and from the Lamb-Dicke regime. It is found a dispersive Hamiltonian for the high intensity regime, that, being diagonal, its evolution operator may be easily calculated.