# Stability of the ground state of a harmonic oscillator in a monochromatic wave.

@article{Berman2001StabilityOT, title={Stability of the ground state of a harmonic oscillator in a monochromatic wave.}, author={Gennady P. Berman and Daniel F. V. James and D. I. Kamenev}, journal={Chaos}, year={2001}, volume={11 3}, pages={ 449-463 } }

The stability of the ground state of a harmonic oscillator in a monochromatic wave is studied. This model describes, in particular, the dynamics of a cold ion in a linear ion trap, interacting with two laser fields with close frequencies. The stability of the "classical ground state"-the vicinity of the point (x=0,p=0)-is analyzed analytically and numerically. For the quantum case, a method for studying a stability of the quantum ground state is developed, based on the quasienergy… Expand

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