Engineering $\mathrm{SU}(1,1)\otimes \mathrm{SU}(1,1)$ vibrational states

C. Huerta Alderete, M. P. Morales Rodríguez, B. M. Rodríguez-Lara

We propose an ideal scheme for preparing vibrational $\mathrm{SU}(1,1)\otimes \mathrm{SU}(1,1)$ states in a two-dimensional ion trap using red and blue second sideband resolved dr…