Nonlinear coherent states of trapped-atom motion

The general character of nonlinear coherent states (NCS) is considered. A method is introduced by which any pure state of the quantum harmonic oscillator can be represented in a limiting sense as a NCS. The representation of a Fock state as a NCS is discussed in detail. As a physical example we show how to prepare a highly excited Fock state in an ion trap based on the concept of NCS.