Topological quantum sensing in a tilted one dimensional optical lattice clock

I would like to be included in the memorial session, should this abstract fits. Thanks!

We theoretically propose a tunable implementation of the Su-Schrieffer-Heeger (SSH) model -- which describe fermionic particles hopping on a dimerized lattice and feature distinct topological behaviors -- taking advantage of the long coherence, and exquisite spectral resolution offered by gravity-tilted optical lattice clocks (OLCs). We describe a protocol similar to Rabi spectroscopy that can be used to probe the distinct topological properties of the system, including the winding number of the SSH model. Such protocol can also, in general, be used to measure current and displacement in OLCs. We then discuss how we leverage the topological robustness of our system to improve quantum sensors such as clocks and interferometers, by reducing their sensitivity to undesired experimental imperfections. The proposed implementation opens a path to exploit the unique robustness of symmetry-protected phases in state-of-the-art quantum sensors.