Supersonic flutter: From Bethe ansatz to metrology

In this talk, using the one dimensional Bethe ansatz solvable model of two-component ultra-cold bosonic atomics, we will rigorously show how the ferromagnetism and the supersonic flutter can drastically emerge in such constituent particles. Moreover, we will also discuss experimental observation of such magnonic quasiparticles, and their relevant metrological application in high precision measurements of the gravitational force.