dorsal/arxiv
View SchemaThe Revival Structure of Rydberg Wave Packets Beyond the Revival Time
| Authors | Robert Bluhm, Alan Kostelecky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9508025 |
| URL | https://arxiv.org/abs/quant-ph/9508025 |
Abstract
After a Rydberg wave packet forms, it is known to undergo a series of collapses and revivals within a time period called the revival time $t_{\rm rev}$, at the end of which it resembles its original shape. We study the behavior of Rydberg wave packets on time scales much greater than $t_{\rm rev}$. We find that after a few revival cycles the wave packet ceases to reform at multiples of the revival time. Instead, a new series of collapses and revivals commences, culminating after a time period $t_{\rm sr} \gg t_{\rm rev}$ with the formation of a wave packet that more closely resembles the initial packet than does the full revival at time $t_{\rm rev}$. Furthermore, at times that are rational fractions of $t_{\rm sr}$, we show that the motion of the wave packet is periodic with periodicities that can be expressed as fractions of the revival time $t_{\rm rev}$. These periodicities indicate a new type of fractional revival, occurring for times much greater than $t_{\rm rev}$. We also examine the effects of quantum defects and laser detunings on the revival structure of Rydberg wave packets for alkali-metal atoms.
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"abstract": "After a Rydberg wave packet forms, it is known to undergo a series of\ncollapses and revivals within a time period called the revival time $t_{\\rm\nrev}$, at the end of which it resembles its original shape. We study the\nbehavior of Rydberg wave packets on time scales much greater than $t_{\\rm\nrev}$. We find that after a few revival cycles the wave packet ceases to reform\nat multiples of the revival time. Instead, a new series of collapses and\nrevivals commences, culminating after a time period $t_{\\rm sr} \\gg t_{\\rm\nrev}$ with the formation of a wave packet that more closely resembles the\ninitial packet than does the full revival at time $t_{\\rm rev}$. Furthermore,\nat times that are rational fractions of $t_{\\rm sr}$, we show that the motion\nof the wave packet is periodic with periodicities that can be expressed as\nfractions of the revival time $t_{\\rm rev}$. These periodicities indicate a new\ntype of fractional revival, occurring for times much greater than $t_{\\rm\nrev}$. We also examine the effects of quantum defects and laser detunings on\nthe revival structure of Rydberg wave packets for alkali-metal atoms.",
"arxiv_id": "quant-ph/9508025",
"authors": [
"Robert Bluhm",
"Alan Kostelecky"
],
"categories": [
"quant-ph"
],
"title": "The Revival Structure of Rydberg Wave Packets Beyond the Revival Time",
"url": "https://arxiv.org/abs/quant-ph/9508025"
},
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