Phase transitions and algebra of fluctuation operators in an exactly soluble model of a quantum anharmonic crystal

@article{Verbeure1992PhaseTA,
  title={Phase transitions and algebra of fluctuation operators in an exactly soluble model of a quantum anharmonic crystal},
  author={Andr{\'e} F. Verbeure and V. A. Zagrebnov},
  journal={Journal of Statistical Physics},
  year={1992},
  volume={69},
  pages={329-359}
}
A complete description of the fluctuation operator algebra is given for a quantum crystal showing displacement structural phase transitions. In the one-phase region, the fluctuations are normal and its algebra is non-Abelian. In the two-phase region and on the critical line (Tc>0) the momentum fluctuation is normal, the displacement is critical, and the algebra is Abelian; atTc=0 (quantum phase transition) this algebra is non-Abelian with abnormal displacement and supernormal (squeezed… CONTINUE READING