Quantum state of two trapped Bose-Einstein condensates with a Josephson
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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ftciteseerx:oai:CiteSeerX.psu:10.1.1.306.2094 2023-05-15T18:22:22+02:00 Quantum state of two trapped Bose-Einstein condensates with a Josephson M. J. Steel M. J. Collett The Pennsylvania State University CiteSeerX Archives 1997 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.306.2094 http://arxiv.org/pdf/cond-mat/9710124v1.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.306.2094 http://arxiv.org/pdf/cond-mat/9710124v1.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://arxiv.org/pdf/cond-mat/9710124v1.pdf text 1997 ftciteseerx 2016-01-07T22:17:30Z 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 (quantph/9706034, 13 June 1997). The phase squeezing is also apparent in mildly asymmetric trap configurations. 1 I. Text South pole Unknown South Pole |
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English |
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 (quantph/9706034, 13 June 1997). The phase squeezing is also apparent in mildly asymmetric trap configurations. 1 I. |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
M. J. Steel M. J. Collett |
spellingShingle |
M. J. Steel M. J. Collett Quantum state of two trapped Bose-Einstein condensates with a Josephson |
author_facet |
M. J. Steel M. J. Collett |
author_sort |
M. J. Steel |
title |
Quantum state of two trapped Bose-Einstein condensates with a Josephson |
title_short |
Quantum state of two trapped Bose-Einstein condensates with a Josephson |
title_full |
Quantum state of two trapped Bose-Einstein condensates with a Josephson |
title_fullStr |
Quantum state of two trapped Bose-Einstein condensates with a Josephson |
title_full_unstemmed |
Quantum state of two trapped Bose-Einstein condensates with a Josephson |
title_sort |
quantum state of two trapped bose-einstein condensates with a josephson |
publishDate |
1997 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.306.2094 http://arxiv.org/pdf/cond-mat/9710124v1.pdf |
geographic |
South Pole |
geographic_facet |
South Pole |
genre |
South pole |
genre_facet |
South pole |
op_source |
http://arxiv.org/pdf/cond-mat/9710124v1.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.306.2094 http://arxiv.org/pdf/cond-mat/9710124v1.pdf |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
_version_ |
1766201777879777280 |