TECHNISCHE UNIVERSITAT MUNCHENMax-Planck-Institut fur QuantenoptikCoherent Dynamics and State Detectionof Single Atoms in a CavityJ org BochmannVollst andiger Abdruck der von der Fakult at fur Physikder Technischen Universit at Munc henzur Erlangung des akademischen Grades einesDoktors der Naturwissenschaften (Dr. rer. nat.)genehmigten Dissertation.Vorsitzender: Univ.-Prof. Dr. H. FriedrichPrufer der Dissertation:1. Hon.-Prof. Dr. G. Rempe2. Univ.-Prof. Dr. Dr. h.c. A. LaubereauDie Dissertation wurde am 17.06.2010bei der Technischen Universit at Munc hen eingereichtund durch die Fakult at fur Physik am 12.07.2010 angenommen.AbstractA single quantum emitter embedded in an optical resonator provides a model systemfor the interaction of light and matter. This thesis reports on experiments in which asingle Rubidium atom is coupled to a high- nesse optical cavity. For this purpose, a newapparatus has been constructed which enables quasi-permanent trapping of single atoms.First, we study the excitation of the atom-cavity system with short laser pulses. Weobserve vacuum Rabi oscillations between the atom and the cavity eld. Further, weshow how the wave packet shape and frequency spectrum of the emitted single photonscan be controlled. Our results are in excellent agreement with theory and illustrate thefundamentals of cavity quantum electrodynamics.