Algebra of fluctuation operators
abnormal and supernormal (squeezed) fluctuations
quantum phase transition
Springer Online Journal Archives 1860-2000
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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