Eur. Phys. J. Plus (2018) 133: 198
https://doi.org/10.1140/epjp/i2018-12033-y

Regular Article

Hybrid entanglement between a trapped ion and a mirror

Instituto de Física “Gleb Wataghin”, Universidade Estadual de Campinas, 13083-859, Campinas, SP, Brazil

^* e-mail: vidiella@ifi.unicamp.br

Received: 7 July 2017
Accepted: 24 April 2018
Published online: 28 May 2018

Abstract

We present a scheme for cavity-assisted generation of hybrid entanglement between a moving mirror belonging to an optomechanical cavity and a single trapped ion located inside a second cavity. Due to radiation pressure, it is possible to entangle the states of the moving mirror and the corresponding cavity field. Also, by tuning the second cavity field with the internal degrees of freedom of the ion, an entangled state of the cavity field/ion can be independently generated. The fields leaking from each cavity may be then combined in a beam splitter, and following the detection of the outgoing photons by conveniently placed photodetectors, we show that it is possible to generate entangled states of the moving mirror and the single trapped ion’s center-of-mass vibration. In our scheme the generated states are hybrid entangled states, in the sense that they are constituted by discrete (Fock) states and continuous variable (coherent) states.