Sub-shot-noise sensitivity in a ring laser gyroscope

Absolute angular rotation rate measurements with sensitivity better than prad/sec would be beneficial for fundamental science investigations. On this regard, large frame Earth based ring laser gyroscopes are top instrumentation as far as bandwidth, long term operation and sensitivity are concerned. Their classical sensitivity limit is given by the shot-noise of the two beams counter propagating inside the cavity usually considered as two independent propagating modes. Thus, it is given by the sum of the shot-noise associated to each beam. Here we prove that the GINGERINO active ring laser prototype upper limiting noise allows an unprecedented sensitivity close to 10$^{-15}$ rad/sec. This is more than a factor 10 better than the theoretical prediction so far accounted for ring lasers shot-noise.