Algebraic Coherent States and Squeezing

Abstract

Eigenstates of general complex linear combination of SU(1,1) generators (suc(1,1) algebraic coherent states (ACS)) are constructed and discussed. In case of quadratic boson representation ACS can exhibit strong both linear and quadratic amplitude squeezing. ACS for a given Lie group algebra contain the corresponding Perelomov CS with maximal symmetry.

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