DFG Research Unit 2414 - DFG-Forschungsgruppe 2414
Welcome to the DFG Research Unit FOR 2414
Artificial Gauge Fields and Interacting Topological Phases in Ultracold Atoms
In these setups, atoms are suitably coupled to laser fields that generate effective gauge potentials. These systems can mimic the dynamics of electrons moving in a magnetic field, but also, the dynamics of elementary particles in non-Abelian gauge fields. In this proposal we aim to theoretically investigate and experimentally realize novel topological phases of matter induced by synthetic gauge fields in ultracold atoms in optical lattices.
By exploiting the latest developments in experimental, analytical and numerical techniques, we attempt to characterize, engineer and probe topological phases such as topological insulators and superfluids, designing protocols to test their topological invariants, their exotic transport properties and the intriguing nature of their excitations. Special emphasis is given to the investigation of the interplay between interactions and external gauge fields, providing routes to the realization and detection of interacting phases, such as topological Mott insulators, fractional Chern insulators and fractional quantum Hall liquids. Moreover, we investigate out-of-equilibrium dynamics in the presence of gauge fields, exploring paths towards the realization of driven non-equilibrium topological phases. We expect our combined effort to bring both the theoretical understanding and the experimental realization of topological matter to a new level, paving the way towards future applications in quantum information processing and spintronics.