Proofs of some simplified characterizations of the ground states of spin-1 Bose-Einstein condensates
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2011
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| _version_ | 1866911311621783552 |
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| author | Lin, Liren Chern, I-Liang |
| author_facet | Lin, Liren Chern, I-Liang |
| contents | We justify some characterizations of the ground states of spin-1 Bose-Einstein condensates exhibited from numerical simulations. For ferromagnetic systems, we show the validity of the single-mode approximation (SMA). For an antiferromagnetic system with nonzero magnetization, we prove the vanishing of the $m_F=0$ component. In the end of the paper some remaining degenerate situations are also discussed. The proofs of the main results are all based on a simple observation, that a redistribution of masses among different components will reduce the kinetic energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1102_0832 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | Proofs of some simplified characterizations of the ground states of spin-1 Bose-Einstein condensates Lin, Liren Chern, I-Liang Mathematical Physics Quantum Gases Analysis of PDEs 35Q55, 47J30, 49K20 We justify some characterizations of the ground states of spin-1 Bose-Einstein condensates exhibited from numerical simulations. For ferromagnetic systems, we show the validity of the single-mode approximation (SMA). For an antiferromagnetic system with nonzero magnetization, we prove the vanishing of the $m_F=0$ component. In the end of the paper some remaining degenerate situations are also discussed. The proofs of the main results are all based on a simple observation, that a redistribution of masses among different components will reduce the kinetic energy. |
| title | Proofs of some simplified characterizations of the ground states of spin-1 Bose-Einstein condensates |
| topic | Mathematical Physics Quantum Gases Analysis of PDEs 35Q55, 47J30, 49K20 |
| url | https://arxiv.org/abs/1102.0832 |