Engineering phonon-photon interactions with a driven trapped ion in a cavity

Details Engineering phonon-photon interactions with a driven trapped ion in a cavity Engineering phonon-photon interactions with a driven trapped ion in a cavity

2006-09-26

arxiv.org/abs/quant-ph/0609200v1

Physics

Quantum Physics

15 pages, 3 figures. To appear in Physical Review A

Scientific paper

10.1103/PhysRevA.74.063811

We show how to generate quadratic and bi-quadratic phonon-photon interactions through a driven three-level ion inside a cavity. With such a system it is possible to squeeze the cavity-field state, the ion motional state or even the entangled phonon-photon state. We present a detailed analysis of the cavity-field squeezing process, distinguishing three different regimes of this amplification mechanism: the subcritical, critical, and supercritical regimes, which depend, apart from the coupling parameters, on the excitation of the vibrational state. As an application of the engineered Hamiltonians, we show how to implement a Fock-state filter for the vibrational mode. New aspects of the technique of adiabatic elimination emerge in this analysis.

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