dorsal/arxiv
View SchemaSynchronization of internal and external degrees of freedom of atoms in a standing laser wave
| Authors | V. Yu. Argonov, S. V. Prants |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409108 |
| URL | https://arxiv.org/abs/quant-ph/0409108 |
| DOI | 10.1103/PhysRevA.71.053408 |
| Journal | V.Yu. Argonov and S.V. Prants. Synchronization of internal and external degrees of freedom of atoms in a standing laser wave. Phys. Rev. A. V.71 (2005) 053408. |
Abstract
We consider dissipative dynamics of atoms in a strong standing laser wave and find a nonlinear dynamical effect of synchronization between center-of-mass motion and internal Rabi oscillations. The synchronization manifests itself in the phase space as limit cycles which may have different periods and riddled basins of attraction. The effect can be detected in the fluorescence spectra of atoms as equidistant sideband frequencies with the space between adjacent peaks to be inversely proportional to the value of the period of the respective limit cycle. With increasing the intensity of the laser field, we observe numerically cascades of bifurcations that eventually end up in settling a strange chaotic attractor. A broadband noise is shown to destroy a fine structure of the bifurcation scenario, but prominent features of period-1 and period-3 limit cycles survive under a weak noise. The character of the atomic motion is analyzed with the help of the friction force whose zeroes are attractor or repellor points in the velocity space. We find ranges of the laser parameters where the atomic motion resembles a random but deterministic walking of atoms erratically jumping between different wells of the optical potential. Such a random walking is shown to be fractal in the sense that the measured characteristic of the motion, time of exit of atoms from a given space of the standing wave, is a complicated function that has a self-similar structure with singularities on a Cantor set of values of one of the control parameters.
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"abstract": "We consider dissipative dynamics of atoms in a strong standing laser wave and\nfind a nonlinear dynamical effect of synchronization between center-of-mass\nmotion and internal Rabi oscillations. The synchronization manifests itself in\nthe phase space as limit cycles which may have different periods and riddled\nbasins of attraction. The effect can be detected in the fluorescence spectra of\natoms as equidistant sideband frequencies with the space between adjacent peaks\nto be inversely proportional to the value of the period of the respective limit\ncycle. With increasing the intensity of the laser field, we observe numerically\ncascades of bifurcations that eventually end up in settling a strange chaotic\nattractor. A broadband noise is shown to destroy a fine structure of the\nbifurcation scenario, but prominent features of period-1 and period-3 limit\ncycles survive under a weak noise. The character of the atomic motion is\nanalyzed with the help of the friction force whose zeroes are attractor or\nrepellor points in the velocity space. We find ranges of the laser parameters\nwhere the atomic motion resembles a random but deterministic walking of atoms\nerratically jumping between different wells of the optical potential. Such a\nrandom walking is shown to be fractal in the sense that the measured\ncharacteristic of the motion, time of exit of atoms from a given space of the\nstanding wave, is a complicated function that has a self-similar structure with\nsingularities on a Cantor set of values of one of the control parameters.",
"arxiv_id": "quant-ph/0409108",
"authors": [
"V. Yu. Argonov",
"S. V. Prants"
],
"categories": [
"quant-ph",
"nlin.CD",
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.71.053408",
"journal_ref": "V.Yu. Argonov and S.V. Prants. Synchronization of internal and\n external degrees of freedom of atoms in a standing laser wave. Phys. Rev. A.\n V.71 (2005) 053408.",
"title": "Synchronization of internal and external degrees of freedom of atoms in a standing laser wave",
"url": "https://arxiv.org/abs/quant-ph/0409108"
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