Abstract
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 (T c >0) the momentum fluctuation is normal, the displacement is critical, and the algebra is Abelian; atT c =0 (quantum phase transition) this algebra is non-Abelian with abnormal displacement and supernormal (squeezed) momentum fluctuation operators, both being dimension dependent.
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On leave of absence from Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, CIS (Russia).
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Verbeure, A., Zagrebnov, V.A. Phase transitions and algebra of fluctuation operators in an exactly soluble model of a quantum anharmonic crystal. J Stat Phys 69, 329–359 (1992). https://doi.org/10.1007/BF01053796
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DOI: https://doi.org/10.1007/BF01053796