Dipolar fermions as an experimental platform of correlated topological classification

One of the most challenging problems in correlated topological systems is a realization of the reduction of topological classification. However, so far, very few experimental platforms have been proposed.
In this talk, we propose how to prepare experimental platform of the reduction of topological classification $\mathbb{Z}\to\mathbb{Z}_4$ for ultra cold dipolar fermions (e.g., Er, Dy, Eu, Cr, \textit{etc.}), where a distinct evidence for the reduction is available thanks to their high controllability.
The reduction can be observed by applying the radio frequency spectroscopy and by observing a time-dependent spin expectation value of the superposed state, the ground state and the excited states.