Addition and subtraction of single phonons in a trapped ion system
POSTER
Abstract
We introduce an addition and subtraction of single phonons in a trapped ion system. The creation $\hat{a}^{\dagger}$ and annihilation $\hat{a}$ operation have been realized with photons and used for the complete engineering of quantum states of light and the probe of fundamental quantum phenomena [1]. The mathematical description of photon is identical to that of phonon. However, phonon is a particle of quantized matter wave, which should be interpreted differently from photon. We implement the addition and the subtraction of phonon by applying an anti-Jaynes-Cummings type of operation on our trapped ion and performing projective measurements. Our realization can be used for the accurate measurement of position and momentum as well as their relation.\\[4pt] [1] V. Parigi, et al., Science 317, 1890 (2007).
*This work was supported by the National Basic Research Program of China Grant 2011CBA00300, 2011CBA00301, 2011CBA00302, the National Natural Science Foundation of China Grant 61073174, 61033001, 61061130540.