Single-photon opto-mechanics in the strong coupling regime U. Akram, 1 N. Kiesel, 2 M. Aspelmeyer, 2 and G. J. Milburn 1 $^{1}$Department of Physics, School of Mathematics and Physics, The University of Queensland, St Lucia, QLD 4072, Australia $^{2}$Faculty of Physics, Quantum Optics, Quantum Nanophysics and Quantum Information, University of Vienna, Austria We give a theoretical description of a coherently driven opto-mechanical system with a single added photon. The photon source is modeled as a cavity which initially contains one photon and which is irreversibly coupled to the opto-mechanical system. We show that the probability for the additional photon to be emitted by the opto-mechanical cavity will exhibit oscillations under a Lorentzian envelope, when the driven interaction with the mechanical resonator is strong enough. Our scheme provides a feasible route towards quantum state transfer between optical photons and micromechanical resonators. PACS numbers: 42.50.Wk, 42.50.Lc,07.10.Cm arXiv:1002.1517v1 [quant-ph] 8 Feb 2010 1 Abstract