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We predict a new mechanism to induce collective excitations and anonequilibrium phase transition of fermionic superfluids via a sudden switch-onof two-body loss, for which we extend the BCS theory to fully incorporate achange in particle number. We find that a sudden switch-on of dissipationinduces an amplitude oscillation of the superfluid order parameter accompaniedby a chirped phase rotation as a consequence of particle loss. We demonstratethat when dissipation is introduced to one of the two superfluids coupled via aJosephson junction, it gives rise to a nonequilibrium dynamical phasetransition characterized by the vanishing dc Josephson current. Thedissipation-induced collective modes and nonequilibrium phase transition can berealized with ultracold fermionic atoms subject to inelastic collisions.

Collective Excitations and Nonequilibrium Phase Transition in Dissipative Fermionic Superfluids