The Effect of the Correlated Noises on the Wiener Process and the Rabi Oscillation
In this paper,the Wiener-like process and the Rabi oscillation with the correlated colored noises are studied numerically.By counting the position variance of the Wiener-like process and the Wiener process at the same time,it is found that the diffusion rate of particles is faster under the influence of the colored noises.And particles will diffuse faster with the brown noise than with 1/f noise.The Rabi oscillation of the two-level atomic system under near-resonance conditions is analyzed,and it is found that with the increase of noise intensity,the non-correlated noise leads to an increase in the frequency component near the resonance frequency,which is manifested as the broadening of the Rabi spectrum,and for the correlated noise,the frequency content near the resonance frequency will also increase when the noise intensity is small.However,the further increasing the noise intensity will cause the main frequency components of the oscillation to move to near the zero frequency.
Wiener processRabi oscillationwhite noisecolored noise
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