# 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
}
}
• Published 2001
• Physics, Medicine
• Chaos
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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