Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential. II. Application to the ring-laser gyroscope

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Abstract
The effective-eigenvalue method is used to obtain an approximate solution for the mean beat-signal spectrum for the ring-laser gyroscope in the presence of quantum noise. The accuracy of the effective-eigenvalue method is demonstrated by comparing the exact and approximate calculations. It shows clearly that the effective-eigenvalue method yields a simple and concise analytical description of the solution of the problem under consideration.