dorsal/arxiv
View SchemaPropagation, breathing and transition of matter-wave packet trains
| Authors | Wenhua Hai, Chaohong Lee, Guishu Chong |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301122 |
| URL | https://arxiv.org/abs/quant-ph/0301122 |
| DOI | 10.1103/PhysRevA.70.053621 |
Abstract
We find a set of new exact solutions of a quantum harmonic oscillator, which describes some wave-packet trains with average energy being proportional to both the quantum level and classical energy of the oscillator. Center of the wave-packet trains may oscillate like a classical harmonic oscillator of frequency $\omega$. Width and highness of the trains may change simultaneously with frequency $2 \omega $ as an array of breathers. Under some perturbations the wave-packet trains could transit between the states of different quantum numbers. We demonstrate analytically and numerically that the wave-packet trains can be strictly fitted to the matter-wave soliton trains observed by Strecher et al. and reported in Nature 417, 150(2002). When the wave-packets breathe with greater amplitudes, they show periodic collapse and revival of the matter-wave.
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"abstract": "We find a set of new exact solutions of a quantum harmonic oscillator, which\ndescribes some wave-packet trains with average energy being proportional to\nboth the quantum level and classical energy of the oscillator. Center of the\nwave-packet trains may oscillate like a classical harmonic oscillator of\nfrequency $\\omega$. Width and highness of the trains may change simultaneously\nwith frequency $2 \\omega $ as an array of breathers. Under some perturbations\nthe wave-packet trains could transit between the states of different quantum\nnumbers. We demonstrate analytically and numerically that the wave-packet\ntrains can be strictly fitted to the matter-wave soliton trains observed by\nStrecher et al. and reported in Nature 417, 150(2002). When the wave-packets\nbreathe with greater amplitudes, they show periodic collapse and revival of the\nmatter-wave.",
"arxiv_id": "quant-ph/0301122",
"authors": [
"Wenhua Hai",
"Chaohong Lee",
"Guishu Chong"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.053621",
"title": "Propagation, breathing and transition of matter-wave packet trains",
"url": "https://arxiv.org/abs/quant-ph/0301122"
},
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