  Investigating out-of-equilibrium dynamics with two-dimensional (2D) systems
is of widespread theoretical interest, as these systems are strongly influenced
by fluctuations and there exists a superfluid phase transition at a finite
temperature. In this work, we realise matter-wave interference for degenerate
Bose gases, including the first demonstration of coherent splitting of 2D Bose
gases using magnetic trapping potentials. We improve the fringe contrast by
imaging only a thin slice of the expanded atom clouds, which will be necessary
for subsequent studies on the relaxation of the gas following a quantum quench.
