dorsal/arxiv
View SchemaQuantum slow motion
| Authors | M. Hug, G. J. Milburn |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9901001 |
| URL | https://arxiv.org/abs/quant-ph/9901001 |
Abstract
We simulate the center of mass motion of cold atoms in a standing, amplitude modulated, laser field as an example of a system that has a classical mixed phase-space. We show a simple model to explain the momentum distribution of the atoms taken after any distinct number of modulation cycles. The peaks corresponding to a classical resonance move towards smaller velocities in comparison to the velocities of the classical resonances. We explain this by showing that, for a wave packet on the classical resonances, we can replace the complicated dynamics in the quantum Liouville equation in phase-space by the classical dynamics in a modified potential. Therefore we can describe the quantum mechanical motion of a wave packet on a classical resonance by a purely classical motion.
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"abstract": "We simulate the center of mass motion of cold atoms in a standing, amplitude\nmodulated, laser field as an example of a system that has a classical mixed\nphase-space. We show a simple model to explain the momentum distribution of the\natoms taken after any distinct number of modulation cycles. The peaks\ncorresponding to a classical resonance move towards smaller velocities in\ncomparison to the velocities of the classical resonances. We explain this by\nshowing that, for a wave packet on the classical resonances, we can replace the\ncomplicated dynamics in the quantum Liouville equation in phase-space by the\nclassical dynamics in a modified potential. Therefore we can describe the\nquantum mechanical motion of a wave packet on a classical resonance by a purely\nclassical motion.",
"arxiv_id": "quant-ph/9901001",
"authors": [
"M. Hug",
"G. J. Milburn"
],
"categories": [
"quant-ph"
],
"title": "Quantum slow motion",
"url": "https://arxiv.org/abs/quant-ph/9901001"
},
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"source": {
"execution_id": "655dd0cf-dffb-4c77-b7b8-f9bafd8783eb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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