Probing strongly correlated systems with single particle and spin resolution in so-called quantum gas microscopes offers novel perspectives to study quantum many-body systems.

An important class of quantum many-body systems are topologically ordered phases. In these highly-entangled phases the order is encoded non-locally and hence have been predicted to be protected from local decoherence. Such phases are thus very interesting from a quantum information perspective and are the object of intense recent experimental and theoretical investigations. The ability to detect both the internal state and the position of all particles simultaneously allows for example to directly measure non-local correlations which is essential to detect topological order beyond the Landau paradigm of symmetry-broken phases.

Within the ERC starting grant project FLATBANDS, we will explore highly-entangled phases such as fractional quantum Hall states and quantum spin liquids.