Quantum noise in a dithered-ring-laser gyroscope

The influence of quantum noise on the mean beat frequency ${〈{〈\dot{\phi }〉}_F〉}_t$ of a dithered-ring-laser gyroscope is considered. The corresponding Fokker-Planck equation is discussed and approximate analytical expressions and an exact expression for ${〈{〈\dot{\phi }〉}_F〉}_t$ in terms of infinite-matrix continued fractions are obtained. The two approaches are checked against each other.