dorsal/arxiv
View SchemaStudy on Dynamics of N Level System of Atom by Laser Fields
| Authors | Kazuyuki Fujii |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512126 |
| URL | https://arxiv.org/abs/quant-ph/0512126 |
| Journal | Contemporary Mathematics and Its Applications (in Russian), 44(2007), 3-15 |
Abstract
This paper is an extension of Fujii et al (quant--ph/0307066) and in this one we again treat a model of atom with n energy levels interacting with n(n-1)/2 external laser fields, which is a natural extension of usual two level system. Then the rotating wave approximation (RWA) is assumed from the beginning. To solve the Schr{\" o}dinger equation we set the {\bf consistency condition} in our terminology and reduce it to a matrix equation with symmetric matrix $Q$ consisting of coupling constants. However, to calculate $\exp(-itQ)$ {\bfexplicitly} is not easy. In the case of three and four level systems we determine it in a complete manner, so our model in these levels becomes realistic. In last, we make a comment on Cavity QED quantum computation based on three energy levels of atoms as a forthcoming target.
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"abstract": "This paper is an extension of Fujii et al (quant--ph/0307066) and in this one\nwe again treat a model of atom with n energy levels interacting with n(n-1)/2\nexternal laser fields, which is a natural extension of usual two level system.\nThen the rotating wave approximation (RWA) is assumed from the beginning.\n To solve the Schr{\\\" o}dinger equation we set the {\\bf consistency condition}\nin our terminology and reduce it to a matrix equation with symmetric matrix $Q$\nconsisting of coupling constants.\n However, to calculate $\\exp(-itQ)$ {\\bfexplicitly} is not easy. In the case\nof three and four level systems we determine it in a complete manner, so our\nmodel in these levels becomes realistic.\n In last, we make a comment on Cavity QED quantum computation based on three\nenergy levels of atoms as a forthcoming target.",
"arxiv_id": "quant-ph/0512126",
"authors": [
"Kazuyuki Fujii"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"journal_ref": "Contemporary Mathematics and Its Applications (in Russian),\n 44(2007), 3-15",
"title": "Study on Dynamics of N Level System of Atom by Laser Fields",
"url": "https://arxiv.org/abs/quant-ph/0512126"
},
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