| | |
| | |
Stat |
Members: 3643 Articles: 2'488'730 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
Stability of the Ground State of a Harmonic Oscillator in a Monochromatic Wave | Gennady P. Berman
; Daniel F.V. James
; Dimitry I. Kamenev
; | Date: |
4 Aug 2000 | Subject: | Chaotic Dynamics | nlin.CD | Abstract: | Classical and quantum dynamics of a harmonic oscillator in a monochromatic wave is studied in the exact resonance and near resonance cases. This model describes, in particular, a dynamics of a cold ion trapped in a linear ion trap and interacting with two lasers fields with close frequencies. Analytically and numerically a stability of the ``classical ground state’’ (CGS) -- the vicinity of the point ($x=0, p=0$) -- is analyzed. In the quantum case, the method for studying a stability of the quantum ground state (QGS) is suggested, based on the quasienergy representation. The dynamics depends on four parameters: the detuning from the resonance, $delta=ell-Omega/omega$, where $Omega$ and $omega$ are, respectively, the wave and the oscillator’s frequencies; the positive integer (resonance) number, $ell$; the dimensionless Planck constant, $h$, and the dimensionless wave amplitude, $epsilon$. For $delta=0$, the CGS and the QGS are unstable for resonance numbers $ell=1, 2$. For small $epsilon$, the QGS becomes more stable with increasing $delta$ and decreasing $h$. When $epsilon$ increases, the influence of chaos on the stability of the QGS is analyzed for different parameters of the model, $ell$, $delta$ and $h$. | Source: | arXiv, nlin.CD/0008005 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |