Atomtronic SQUIDS, measuring topological band features of optical lattices, and realizing supersymmetry
In this talk, I give an overview over three recent projects. In the first project, we discuss and compare several protocols to realize an atomtronic SQUID in a toroidal Bose-Einstein condensate. We propose how to optimize the SQUID operation to give a well-defined, integer phase winding, and to minimize the resulting heat up of the system. In the second project, I report recent work on a versatile method to measure topological defects of the band structure of a honeycomb optical lattice. Here, we drive the system with an off-resonant lattice modulation, and detect the resulting density modulation after time-of-flight. As is confirmed experimentally, this gives access to the singular points of the Berry curvature. In the third project, I describe a proposal of how to realize a pair of supersymmetric single-particle systems in ultra-cold atoms. We propose an interference protocol that compares single atom dynamics in two potential wells. The interference protocol identifies the existence of a supersymmetry between the two systems.
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