Detta är en digital seminarieserie i kondenserade materiens fysik och atomfysik, med syfte att koppla samman forskare från olika nordiska universitet. Samtalen är informella och ska inspirera till diskussioner och interaktioner.
The past few years have seen a revived interest in quantum geometrical characterizations. Although the metric tensor has been connected to many geometrical concepts for single bands, the exploration of these concepts to a multi-band paradigm still promises a new field of interest. I will discuss a new route involving Pl\"ucker embeddings to represent arbitrary classifying spaces, being the essential objects that encode all the relevant topology for any multi-band system. While I will argue that this tool can be applied in contexts that range from response theories to finding quantum volumes and bounds on superfluid densities as well as possible quantum computations, I will in particular also show that they can be used to formulate projector Hamiltonians with projected entangled pair ground (PEPS) states that have a finite topological invariant, the Euler class, circumventing many no-go theorems. We further demonstrate the versatility of our model states by applying a shallow quantum circuit, producing interacting PEPS and simple parent Hamiltonians in the Euler phase. These model states moreover pinpoint to new interacting physics.
Zoom-länk: https://nordita.org/zoom/nvcms