Detection of Topological Matter with Quantum Gases
Ian B. Spielman
Creating and measuring topological matter with order deeply imbedded its quantum mechanical eigenstates structure presents unique experimental challenges. This sort of intrinsically non-local order might seem experimentally inaccessible in any macroscopic system, however, as the precisely quantized Hall plateaux in integer and fractional quantum Hall systems show, topology can have macroscopic signatures at the systems edges. Ultracold atoms provide new experimental platforms where both the intrinsic topology and the edge behavior can be directly measured. This manuscript reviews, using specific examples, how noninteracting topological matter may be created and measured in quantum gases.