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.
The variance of the time dependent atomic positions and momenta is directly mapped into the quantum uctuations of the photon number of the scattered probing light. A fully quantum de-scription of the non-linear interactions between photonic and phononic fields unveils evidences of squeezing of thermal phonons. In here a pump-probe spectroscopy was proposed to observe phonon squeezing in solids. Numerical simulation showed pump-probe response due to coherent phonon and squeezed phonon in alpha-quartz.
We have developed a general method to perform optical pumping by a pulsed laser with the aid of an optical cavity (cavity-assisted optical pumping). Optical pumping is achieved by repetitive interaction of a single laser pulse with a target material in the cavity. This method is demonstrated for manganese ions, Mn+, stored in a linear radio-frequency ion trap; about 108 ions are spin polarized by a 5-ns laser pulse via ${^{7}P}_{J}\ensuremath{\leftarrow}{^{7}S}_{3}$ (J=3 or 4) transition in the ultraviolet region. The linewidth of the pulsed light source is broad enough to transfer the populations of lower hyperfine levels to the highest one (F=11/2) in the 7S3 ground state; the nuclear spin is polarized as well.