# 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

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## SCALING OF FLUCTUATIONS & CRITICAL EXPONENTSM

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## Euclidean Gibbs Measures of Quantum Anharmonic Crystals

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## Quantum effects in an anharmonic crystal

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## A pr 2 00 0 Preprint-KUL-TF-2000 / 12 Interferencing in coupled Bose-Einstein condensates

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