Orthonormalized Eigenstates of Operatorakand Their Squeezing Properties

J. Sun, Jay J. Wang, C. Wang · Journal of Modern Optics · 1991

The orthonormalized eigenstates of the higher powers, a k (k  3), of the annihilation operator a were obtained. We discuss the mathematical properties and the squeezing properties of the orthonormalized eigenstates of a k. We prove that these orthonormalized eigenstates of a k construct a complete representation, that none of them have the squeezed effect in the usual sense, and that higher-order squeezing can be found.

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