  We study correlated switchings of superconducting nanobridge probed with
train of current pulses. For pulses with low repetition rate each pulse
transits the superconducting bridge to normal state with probability $P$
independent of the outcomes in the preceding pulses. We show that with
reduction of the time interval between pulses long range correlation between
pulses occurs: stochastic switching in a single pulse rises temperature of the
bridge and affects outcome of the probing for next pulses. As a result, an
artificial intricate stochastic process with adjustable strength of correlation
is produced. We identify regime where apparent switching probability exhibits
the thermal hysteresis with discontinuity at a critical current amplitude of
the probing pulse. This engineered stochastic process can be viewed as an
artificial phase transition and provides an interesting framework for studying
correlated systems. The process resembles the familiar transition from
superconducting to normal state in the current-bias nanowire, proceeding
through phase slip avalanche. Due to its extreme sensitivity on the control
parameter, i.e. electric current, temperature or magnetic field, it offers
opportunity for ultra-sensitive detection.
