Interest continues to grow in photonic and phononic analogues of topological electronic phases. In most cases\, these systems are non-interacting\, and have the same band structure and edge state structure as their fermionic counterparts. In this talk\, I’ll discuss recent theory work in my group showing how parametric “two-photon” driving can be used to realize a new class of photonic topological systems that superficially resemble topological superconductors. Unlike standard particle-number conserving models of non-interacting topological phases\, these new systems exhibit crucial differences between their bosonic and fermionic versions. Further\, one can realize a situation where all bulk states are stable\, but where edge states are guaranteed to be unstable. Such a system can form the basis of a useful device: a topologically-protected amplifier which operates close to the fundamental limits set by quantum mechanics. I’ll discuss how these ideas could be realized in a variety of different experimental platforms\, including superconducting quantum circuits and optomechanics. URL:https://wp.physics.wisc.edu/twap/?id=4804 END:VEVENT END:VCALENDAR