Quantum Walk on fractal

The first result from our brand-new setup on optical Quasicrystals is on the Arxiv.

Matter-wave diffraction from a quasicrystalline optical lattice 

In this work, we report on the first experimental demonstration of an eightfold symmetric optical lattice, realising a two-dimensional quasicrystalline potential for ultracold atoms. Using matter-wave diffraction we observe the striking self-similarity of the quasicrystalline structure. The diffraction dynamics on short timescales constitutes a continuous-time quantum walk on a homogeneous four-dimensional tight-binding lattice. These measurements pave the way for quantum simulation in higher dimensions.

Konrad Viebahn, Matteo Sbroscia, Edward Carter, Jr-Chiun Yu, Ulrich Schneider
arXiv:1807.00823