  Active stabilization in systems with zero or negative stiffness is an
essential element of a wide variety of biological processes. We study a
prototypical example of this phenomenon at a micro-scale and show how active
rigidity, interpreted as a formation of a pseudo-well in the effective energy
landscape, can be generated in an overdamped ratchet-type stochastic system. We
link the transition from negative to positive rigidity with correlations in the
noise and show that subtle differences in out-of-equilibrium driving may
compromise the emergence of a pseudo-well.
