The design of quantum many body systems, which have to fulfill an extensive number of constraints, appears as a formidable challenge within the field of quantum simulation. Lattice gauge theories are a particular important class of quantum systems …

This thesis reports on the experimental realization of an elementary building block for analog quantum simulation of a U(1) lattice gauge theory in a mixture of two bosonic quantum gases. Experimentally, the building block is realized by …

In the fundamental laws of physics, gauge fields mediate the interaction between charged particles. An example is quantum electrodynamics -- the theory of electrons interacting with the electromagnetic field -- based on $U(1)$ gauge symmetry. Solving …

Dynamical gauge fields are a fundamental concept of high-energy physics. However, learning about them typically takes enormous amounts of time and effort. As such, they are typically a bit mystical to students (including me) of other fields of physics like condensed-matter or AMO. Here, we will give a simple introduction into some of the concepts that might allow for the quantum simulation of these theories with ultracold atomic gases.The reader should know about second quantization and the basics of quantum mechanics as the arguments are based on this formalism.

We discuss the experimental engineering of model systems for the description of QED in one spatial dimension via a mixture of bosonic $^23$Na and fermionic $^6$Li atoms. The local gauge symmetry is realized in an optical superlattice, using …