Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling
We consider the precise quantum state of two trapped, coupled Bose Einstein condensates in the two-mode approximation. We seek a representation of the state in terms of a Wigner-like distribution on the two-mode Bloch sphere. The problem is solved using a self-consistent rotation of the unknown stat...
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ftdatacite:10.48550/arxiv.cond-mat/9710124 2023-05-15T18:22:28+02:00 Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling Steel, M. J. Collett, M. J. 1997 https://dx.doi.org/10.48550/arxiv.cond-mat/9710124 https://arxiv.org/abs/cond-mat/9710124 unknown arXiv https://dx.doi.org/10.1103/physreva.57.2920 Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004 http://arxiv.org/licenses/assumed-1991-2003/ Condensed Matter cond-mat FOS Physical sciences article-journal Article ScholarlyArticle Text 1997 ftdatacite https://doi.org/10.48550/arxiv.cond-mat/9710124 https://doi.org/10.1103/physreva.57.2920 2022-04-01T17:02:06Z We consider the precise quantum state of two trapped, coupled Bose Einstein condensates in the two-mode approximation. We seek a representation of the state in terms of a Wigner-like distribution on the two-mode Bloch sphere. The problem is solved using a self-consistent rotation of the unknown state to the south pole of the sphere. The two-mode Hamiltonian is projected onto the harmonic oscillator phase plane, where it can be solved by standard techniques. Our results show how the number of atoms in each trap and the squeezing in the number difference depend on the physical parameters. Considering negative scattering lengths, we show that there is a regime of squeezing in the relative phase of the condensates which occurs for weaker interactions than the superposition states found by Cirac et al% (quant-ph/9706034, 13 June 1997). The phase squeezing is also apparent in mildly asymmetric trap configurations. : 26 pages, 11 figures Text South pole DataCite Metadata Store (German National Library of Science and Technology) South Pole |
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topic |
Condensed Matter cond-mat FOS Physical sciences |
spellingShingle |
Condensed Matter cond-mat FOS Physical sciences Steel, M. J. Collett, M. J. Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling |
topic_facet |
Condensed Matter cond-mat FOS Physical sciences |
description |
We consider the precise quantum state of two trapped, coupled Bose Einstein condensates in the two-mode approximation. We seek a representation of the state in terms of a Wigner-like distribution on the two-mode Bloch sphere. The problem is solved using a self-consistent rotation of the unknown state to the south pole of the sphere. The two-mode Hamiltonian is projected onto the harmonic oscillator phase plane, where it can be solved by standard techniques. Our results show how the number of atoms in each trap and the squeezing in the number difference depend on the physical parameters. Considering negative scattering lengths, we show that there is a regime of squeezing in the relative phase of the condensates which occurs for weaker interactions than the superposition states found by Cirac et al% (quant-ph/9706034, 13 June 1997). The phase squeezing is also apparent in mildly asymmetric trap configurations. : 26 pages, 11 figures |
format |
Text |
author |
Steel, M. J. Collett, M. J. |
author_facet |
Steel, M. J. Collett, M. J. |
author_sort |
Steel, M. J. |
title |
Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling |
title_short |
Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling |
title_full |
Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling |
title_fullStr |
Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling |
title_full_unstemmed |
Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling |
title_sort |
quantum state of two trapped bose-einstein condensates with a josephson coupling |
publisher |
arXiv |
publishDate |
1997 |
url |
https://dx.doi.org/10.48550/arxiv.cond-mat/9710124 https://arxiv.org/abs/cond-mat/9710124 |
geographic |
South Pole |
geographic_facet |
South Pole |
genre |
South pole |
genre_facet |
South pole |
op_relation |
https://dx.doi.org/10.1103/physreva.57.2920 |
op_rights |
Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004 http://arxiv.org/licenses/assumed-1991-2003/ |
op_doi |
https://doi.org/10.48550/arxiv.cond-mat/9710124 https://doi.org/10.1103/physreva.57.2920 |
_version_ |
1766201878731816960 |