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We theoretically propose an idea to realize a $p$-wave superfluid Fermi gas.To overcome the experimental difficulty that a $p$-wave pairing interaction toform $p$-wave Cooper pairs damages the system before the condensation growth,we first prepare a $p$-wave pair amplitude ($\Phi_{p}$) in a spin-orbit coupled$s$-wave superfluid Fermi gas, without any $p$-wave interaction. Then, bysuddenly changing the $s$-wave interaction with a $p$-wave one ($U_{p}$) byusing a Feshbach resonance, we reach the $p$-wave superfluid phase with the$p$-wave order parameter being symbolically written as $\Delta_{p}\simU_{p}\Phi_{p}$. In this letter, we assess this scenario within the framework ofa time-dependent Bogoliubov-de Gennes theory. Our results would contribute tothe study toward the realization of unconventional pairing states in anultracold Fermi gas.

A Novel Route to Reach a $p$-wave Superfluid Fermi Gas