dorsal/arxiv
View Schema$\lambda /4$, $\lambda /8$, and higher order atom gratings via Raman transitions
| Authors | B. Dubetsky, P. R. Berman |
|---|---|
| Categories | |
| ArXiv ID | physics/0201017 |
| URL | https://arxiv.org/abs/physics/0201017 |
Abstract
A method is proposed for producing atom gratings having period $\lambda /4$ and $\lambda /8$ using optical fields having wavelength $\lambda $. Counterpropagating optical fields drive Raman transitions between ground state sublevels. The Raman fields can be described by an effective two photon field having wave vector 2 k, where k is the propagation vector of one of the fields. By combining this Raman field with {\em another} Raman field having propagation vector -2 k, one, in effect, creates a standing wave Raman field \label{91}%which whose ``intensity'' varies as $\cos (4 k\cdot r).$ When atoms move through this standing wave field, atom gratings having period $\lambda /4$ are produced, with the added possibility that the total ground state population in a given ground state manifold can have $\lambda /8$ periodicity. The conditions required to produce such gratings are derived. Moreover, it is shown that even higher order gratings having periodicity smaller than $\lambda /8$ can be produced using a multicolor field geometry involving three (two-photon) Raman fields. Although most calculations are carried out in the Raman-Nath approximation, the use of Raman fields to create reduced period optical lattices is also discussed.
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"abstract": "A method is proposed for producing atom gratings having period $\\lambda /4$\nand $\\lambda /8$ using optical fields having wavelength $\\lambda $.\nCounterpropagating optical fields drive Raman transitions between ground state\nsublevels. The Raman fields can be described by an effective two photon field\nhaving wave vector 2 k, where k is the propagation vector of one of the fields.\nBy combining this Raman field with {\\em another} Raman field having propagation\nvector -2 k, one, in effect, creates a standing wave Raman field\n\\label{91}%which whose ``intensity\u0027\u0027 varies as $\\cos (4 k\\cdot r).$ When atoms\nmove through this standing wave field, atom gratings having period $\\lambda /4$\nare produced, with the added possibility that the total ground state population\nin a given ground state manifold can have $\\lambda /8$ periodicity. The\nconditions required to produce such gratings are derived. Moreover, it is shown\nthat even higher order gratings having periodicity smaller than $\\lambda /8$\ncan be produced using a multicolor field geometry involving three (two-photon)\nRaman fields. Although most calculations are carried out in the Raman-Nath\napproximation, the use of Raman fields to create reduced period optical\nlattices is also discussed.",
"arxiv_id": "physics/0201017",
"authors": [
"B. Dubetsky",
"P. R. Berman"
],
"categories": [
"physics.atom-ph"
],
"title": "$\\lambda /4$, $\\lambda /8$, and higher order atom gratings via Raman transitions",
"url": "https://arxiv.org/abs/physics/0201017"
},
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