dorsal/arxiv
View SchemaLong-Term Evolution and Revival Structure of Rydberg Wave Packets
| Authors | Robert Bluhm, Alan Kostelecky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9508024 |
| URL | https://arxiv.org/abs/quant-ph/9508024 |
| DOI | 10.1016/0375-9601(95)00186-7 |
| Journal | Phys.Lett.A200:308,1995 |
Abstract
It is known that, after formation, a Rydberg wave packet undergoes a series of collapses and revivals within a time period called the revival time, $t_{\rm rev}$, at the end of which it is close to its original shape. We study the behavior of Rydberg wave packets on time scales much greater than $t_{\rm rev}$. We show 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 $t_{\rm sr}$, the square of the autocorrelation function exhibits large peaks 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 $t_{\rm rev}$. A theoretical explanation of these effects is outlined.
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"abstract": "It is known that, after formation, a Rydberg wave packet undergoes a series\nof collapses and revivals within a time period called the revival time, $t_{\\rm\nrev}$, at the end of which it is close to its original shape. We study the\nbehavior of Rydberg wave packets on time scales much greater than $t_{\\rm\nrev}$. We show 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 $t_{\\rm sr}$, the square of the\nautocorrelation function exhibits large peaks with periodicities that can be\nexpressed as fractions of the revival time $t_{\\rm rev}$. These periodicities\nindicate a new type of fractional revival occurring for times much greater than\n$t_{\\rm rev}$. A theoretical explanation of these effects is outlined.",
"arxiv_id": "quant-ph/9508024",
"authors": [
"Robert Bluhm",
"Alan Kostelecky"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/0375-9601(95)00186-7",
"journal_ref": "Phys.Lett.A200:308,1995",
"title": "Long-Term Evolution and Revival Structure of Rydberg Wave Packets",
"url": "https://arxiv.org/abs/quant-ph/9508024"
},
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