  Ultracold atomic gases in two dimensions tuned close to a p-wave Feshbach
resonance were expected to exhibit topological superfluidity, but these were
found to be experimentally unstable. We show that one can induce a topological
Floquet superfluid if weakly interacting atoms are brought suddenly close
("quenched") to such a resonance, in the time before the instability kicks in.
The resulting superfluid possesses Majorana edge modes, yet differs from a
conventional Floquet system as it is not driven externally. Instead, the
periodic modulation is self-generated by the dynamics.
