Fast Control of Atom-Light Interaction in a Narrow Linewidth Cavity

We propose a method to exploit high finesse optical resonators for light assisted coherent manipulation of atomic ensembles, overcoming the limit imposed by finite response time cavity. The key element our scheme is rapidly switch interaction between atoms and cavity field with an auxiliary control process as, example, shift induced beam. applicable many different species, both in trapped free fall configurations, can be adopted internal and/or external degrees freedom. Our will open new possibilities cavity-aided atom interferometry preparation highly non-classical states.