dorsal/arxiv
View SchemaAtomic Supersymmetry, Rydberg Wave Packets, and Radial Squeezed States
| Authors | Robert Bluhm, Alan Kostelecky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9508020 |
| URL | https://arxiv.org/abs/quant-ph/9508020 |
| DOI | 10.1103/PhysRevA.49.4628 |
| Journal | Phys.Rev.A49:4628-4640,1994 |
Abstract
We study radial wave packets produced by short-pulsed laser fields acting on Rydberg atoms, using analytical tools from supersymmetry-based quantum-defect theory. We begin with a time-dependent perturbative calculation for alkali-metal atoms, incorporating the atomic-excitation process. This provides insight into the general wave packet behavior and demonstrates agreement with conventional theory. We then obtain an alternative analytical description of a radial wave packet as a member of a particular family of squeezed states, which we call radial squeezed states. By construction, these have close to minimum uncertainty in the radial coordinates during the first pass through the outer apsidal point. The properties of radial squeezed states are investigated, and they are shown to provide a description of certain aspects of Rydberg atoms excited by short-pulsed laser fields. We derive expressions for the time evolution and the autocorrelation of the radial squeezed states, and we study numerically and analytically their behavior in several alkali-metal atoms. Full and fractional revivals are observed. Comparisons show agreement with other theoretical results and with experiment.
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"abstract": "We study radial wave packets produced by short-pulsed laser fields acting on\nRydberg atoms, using analytical tools from supersymmetry-based quantum-defect\ntheory. We begin with a time-dependent perturbative calculation for\nalkali-metal atoms, incorporating the atomic-excitation process. This provides\ninsight into the general wave packet behavior and demonstrates agreement with\nconventional theory. We then obtain an alternative analytical description of a\nradial wave packet as a member of a particular family of squeezed states, which\nwe call radial squeezed states. By construction, these have close to minimum\nuncertainty in the radial coordinates during the first pass through the outer\napsidal point. The properties of radial squeezed states are investigated, and\nthey are shown to provide a description of certain aspects of Rydberg atoms\nexcited by short-pulsed laser fields. We derive expressions for the time\nevolution and the autocorrelation of the radial squeezed states, and we study\nnumerically and analytically their behavior in several alkali-metal atoms. Full\nand fractional revivals are observed. Comparisons show agreement with other\ntheoretical results and with experiment.",
"arxiv_id": "quant-ph/9508020",
"authors": [
"Robert Bluhm",
"Alan Kostelecky"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.49.4628",
"journal_ref": "Phys.Rev.A49:4628-4640,1994",
"title": "Atomic Supersymmetry, Rydberg Wave Packets, and Radial Squeezed States",
"url": "https://arxiv.org/abs/quant-ph/9508020"
},
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