dorsal/arxiv
View SchemaCorrelated Gaussian method for dilute bosonic systems
| Authors | H. H. Sorensen, D. V. Fedorov, A. S. Jensen |
|---|---|
| Categories | |
| ArXiv ID | physics/0504135 |
| URL | https://arxiv.org/abs/physics/0504135 |
| DOI | 10.1063/1.1996868 |
| Journal | AIP Conference Proceedings 777, 12 (2005) |
Abstract
The weakly interacting trapped Bose gases have been customarily described using the mean-field approximation in the form of the Gross-Pitaevskii equation. The mean-field approximation, however, has certain limitations, in particular it can not describe correlations between particles. We introduce here an alternative variational approach, based on the correlated Gaussian method, which in its simplest form is as fast and simple as the mean-field approximation, but which allows successive improvements of the trial wave-function by including correlations between particles.
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"abstract": "The weakly interacting trapped Bose gases have been customarily described\nusing the mean-field approximation in the form of the Gross-Pitaevskii\nequation. The mean-field approximation, however, has certain limitations, in\nparticular it can not describe correlations between particles. We introduce\nhere an alternative variational approach, based on the correlated Gaussian\nmethod, which in its simplest form is as fast and simple as the mean-field\napproximation, but which allows successive improvements of the trial\nwave-function by including correlations between particles.",
"arxiv_id": "physics/0504135",
"authors": [
"H. H. Sorensen",
"D. V. Fedorov",
"A. S. Jensen"
],
"categories": [
"physics.atom-ph",
"cond-mat.other"
],
"doi": "10.1063/1.1996868",
"journal_ref": "AIP Conference Proceedings 777, 12 (2005)",
"title": "Correlated Gaussian method for dilute bosonic systems",
"url": "https://arxiv.org/abs/physics/0504135"
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