LAUSR

Constriction-based Josephson weak-links display a thermal bistability between two states exhibiting zero and finite voltages. This manifests in experiments either as hysteresis in weak-link's current voltage characteristics or as random telegraphic signal in voltage. In the latter case, a noise-driven amplification of a sinusoidal excitation of the device is observed, at frequencies matching the characteristic switching frequency in telegraphic signal, a phenomenon known as stochastic resonance. The observed behavior is understood using a two-state model of stochastic resonance. This study opens perspectives for improving $\mu$-SQUID performance, thanks to noise.