CHINESE JOURNAL OF PHYSICS VOL. 39, NO. 6 DECEMBER 2001

$\bmit K$-Quantum Nonlinear Coherent States:
Formulation, Realization and Nonclassical Effects

Nguyen Ba An

National Center for Theoretical Sciences, Physics Division, P. O. Box 2-131,

Hsinchu, Taiwan 300, R.O.C.
(Received June 29, 2001)

We introduce a generalized class of states called K-quantum nonlinear coherent states. Each K-state has K j-components corresponding to one and the same eigenvalue. Each Kj-component can be composed of K K=1-states in a correlated manner. These states are shown to be realized in the long-term behavior of the vibrational motion of an ion properly trapped and laser-driven. Nonclassical properties of the states are studied in detail.

PACS. 42.50.Dv - Nonclassical field states; squeezed, antibunched, and sub-Possonian states.

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