Stochastic dynamics and bound states of heavy impurities in a Fermi bath

We investigate the dynamics of heavy impurities embedded in an ultra-cold Fermi gas by using a Generalized Langevin equation. The latter -- derived means influence functional theory describes stochastic classical and quantum nature fermionic bath manifests emergent interaction between viscosity tensor. By focusing on two-impurity case, we predict existence bound states, different conditions coupling temperature, whose life-time can be analytically estimated. Our predictions should testable cold-gases platforms within current technology.