Phonon-Photon Translation with a Trapped Ion in a Cavity

Takashi Mukaiyama

Miguel Orszag

A trapped ion in a cavity can be used either to translate phonon to photon statistics when pumped incoherently, or transfer squeezing from phonons to photons, when the electronic pump is coherent and one has a particular phonon pump.

Guzman, R, Miguel Orszag

In this work we study the trapped ion in a Paul Trap, and placed in a cavity. Interactions between cavity and ion, permits transfer squeezing from phonons to photons, through an electronic pump (which is coherent), and a particular phonon pump. We also discus stability of the stationary states of the system.

Vahala, W. Herrmann, Knunz +3 more

Jie‐Qiao Liao, Yu Guo, Hao‐Sheng Zeng +1 more

In this paper, we study generation of entangled states in a system which consists of a single trapped ion in a cavity. We obtain a cross-Kerr-like interaction between the cavity field (photons) and the centre-of-mass motion (phonons) of the trapped ion in the Lamb–Dicke and large detuning regime. Based on this cross-Kerr-like interaction, we create hybrid entangled states between the phonon mode and the ionic internal states, and between the cavity field and ionic internal states, respectively. We also show that it is possible to prepare entangled coherent states between the cavity field and the phonon mode. We explicitly obtain an entangled state between two pairs of Schrödinger-cat states.

F. L. Semião, A. Vidiella-Barranco