Degenerate parametric oscillation, one of the most elusive models in the field of open system dynamics, can be implemented in modern optomechanical setups.

Degenerate parametric oscillation, one of the most elusive models in the field of open system dynamics, can be implemented in modern optomechanical setups.
We consider different configurations of ac driven quantum dots coupled to superconductor leads where Majorana fermions can exist as collective quasiparticles.
Floquet Majorana fermions appear as steady states at the boundary of time-periodic topological phases of matter.