Mechanisms of matter-wave diffraction and their application to interferometers

Light pulses have proven to be a powerful and versatile tool to implement beam splitters and mirrors for matter waves enabling atom interferometers. However, for high-precision measurements with such devices the specific realization is crucial and novel techniques might increase the sensitivity. To illustrate the diversity of light-pulse beam splitting and the subtle differences between the diffraction mechanisms, we study atomic Raman, Bragg, and the new method of double Bragg diffraction in a coherent way. Moreover, we introduce a versatile formalism to determine the interference signal of a Mach-Zehnder geometry and give an interpretation in terms of proper-time difference. In addition, we explore the feasibility of a specular mirror for atoms, which might lead to an interferometer testing the equivalence principle