In order to analyze correlation between visual electroencephalograph (EEG) signals and respiratory activities of mice, analogy to the interactivity between electromagnetic field and two-level atom, semiclassical(EEG field classical description) model and quantum(EEG field quantumization) model between outfield and two-state quantum systems describing breath EEG excitation and propagation are established and proved to be correct. Based on coherence theory, a high order coherence analysis model of EEG signal correlation is established. In sleeping state, the mean value of normalized mutual coherence function is about 0.3. The high order self-coherence function curves have high similarity, and it can be concluded that EEG of sleeping state and breath activity must be real correlated. In waking state, the mean value of normalized mutual coherence function is about 0.1. The high order self-coherence function curves have lower similarity, and it can be concluded that EEG of waking state and breath activity must have weak correlation.