A study of the model in the Tsallis nonextensive statistics

The author studied the effects of the environment described by Tsallis statistics in quantum mechanics, when the deviation from Boltzmann–Gibbs (BG) statistics is small. The x 4 model was used and the squeeze angle caused by the difference between Tsallis and BG statistics was calculated perturbatively in the mean field approximation as a function of the dimensionless parameters: the inverse temperature β p and the coupling strength λ p . The author found that the effect of the deviation from BG statistics is relatively large at high temperature. The squeeze angle as a function of β p has a dip structure, and the dip is deeper with the increase of λ p . The sign of the angle as a function of β p changes. These facts indicate that the frequency is modulated by the difference between these statistics.