Phase transition between two-component and three-component ground states of spin-1 Bose-Einstein condensates
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2013
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914195755237376 |
|---|---|
| author | Lin, Liren Chern, I-Liang |
| author_facet | Lin, Liren Chern, I-Liang |
| contents | For an antiferromagnetic spin-1 Bose-Einstein condensate under an applied uniform magnetic field, its ground state $(ψ_1,ψ_0,ψ_{-1})$ undergoes a phase transition from a two-component state ($ψ_0 \equiv 0$) to a three-component state ($ψ_j\ne 0$ for all $j$) at a critical value of the magnetic field. This phenomenon has been observed in numerical simulations as well as in experiments. In this paper, we provide a mathematical proof based on a simple principle found by the authors: a redistribution of the mass densities between different components will decrease the kinetic energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1302_0279 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Phase transition between two-component and three-component ground states of spin-1 Bose-Einstein condensates Lin, Liren Chern, I-Liang Mathematical Physics Quantum Gases Analysis of PDEs 35Q55, 47J30, 49K20 For an antiferromagnetic spin-1 Bose-Einstein condensate under an applied uniform magnetic field, its ground state $(ψ_1,ψ_0,ψ_{-1})$ undergoes a phase transition from a two-component state ($ψ_0 \equiv 0$) to a three-component state ($ψ_j\ne 0$ for all $j$) at a critical value of the magnetic field. This phenomenon has been observed in numerical simulations as well as in experiments. In this paper, we provide a mathematical proof based on a simple principle found by the authors: a redistribution of the mass densities between different components will decrease the kinetic energy. |
| title | Phase transition between two-component and three-component ground states of spin-1 Bose-Einstein condensates |
| topic | Mathematical Physics Quantum Gases Analysis of PDEs 35Q55, 47J30, 49K20 |
| url | https://arxiv.org/abs/1302.0279 |