dorsal/arxiv
View SchemaTwo-Mode Theory of BEC Interferometry
| Authors | B J Dalton |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601012 |
| URL | https://arxiv.org/abs/quant-ph/0601012 |
| DOI | 10.1080/09500340600677682 |
| Journal | J. Mod. Opt. 54, 615 (2007) |
Abstract
A theory of BEC interferometry in an unsymmetrical double-well trap has been developed for small boson numbers, based on the two-mode approximation. The bosons are initially in the lowest mode of a single well trap, which is split into a double well and then recombined. Possible fragmentations into separate BEC states in each well during the splitting/recombination process are allowed for. The BEC is treated as a giant spin system, the fragmented states are eigenstates of S^2 and Sz. Self-consistent sets of equations for the amplitudes of the fragmented states and for the two single boson mode functions are obtained. The latter are coupled Gross-Pitaevskii equations. Interferometric effects may be measured via boson numbers in the first excited mode
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"abstract": "A theory of BEC interferometry in an unsymmetrical double-well trap has been\ndeveloped for small boson numbers, based on the two-mode approximation. The\nbosons are initially in the lowest mode of a single well trap, which is split\ninto a double well and then recombined. Possible fragmentations into separate\nBEC states in each well during the splitting/recombination process are allowed\nfor. The BEC is treated as a giant spin system, the fragmented states are\neigenstates of S^2 and Sz. Self-consistent sets of equations for the amplitudes\nof the fragmented states and for the two single boson mode functions are\nobtained. The latter are coupled Gross-Pitaevskii equations. Interferometric\neffects may be measured via boson numbers in the first excited mode",
"arxiv_id": "quant-ph/0601012",
"authors": [
"B J Dalton"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500340600677682",
"journal_ref": "J. Mod. Opt. 54, 615 (2007)",
"title": "Two-Mode Theory of BEC Interferometry",
"url": "https://arxiv.org/abs/quant-ph/0601012"
},
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