Sprecher
Beschreibung
One of the main challenges for the simulation of lattice gauge theories with cold atoms in optical lattices is to find resource-efficient implementations of the required local symmetries. Despite the recent experimental progress, there is no clear path towards implementations of lattice gauge theories in extended systems beyond one dimension or with non-Abelian symmetries. Here, I report on the development of a new hybrid optical lattice-tweezer platform that combines local state-dependent control of tunnel couplings with the unique properties of fermionic alkaline-earth-like atoms to realize U(1) lattice gauge theories coupled to matter. Moreover, the SU(N) symmetric interactions of fermionic 173Yb atoms pave the way towards novel schemes for the realization of more complex non-Abelian symmetries. Our scheme relies on correlated tunneling of fermionic atoms in a state-dependent programmable optical lattice. We have performed ab initio calculations of the lattice gauge theory dynamics, identifying suitable parameter regimes. On the experimental side we have performed measurements of the required laser wavelengths, which is the first step towards building the final lattice setup.
