### 抜粋

We consider a trapped Bose-Einstein condensate (BEC) with a highly quantized vortex. For the BEC with a doubly, triply, or quadruply quantized vortex, the numerical calculations have shown that the Bogoliubov-de Gennes equations, which describe the fluctuation of the condensate, have complex eigenvalues. In this paper, we obtain the analytic expression of the condition for the existence of complex modes, using the method developed by Rossignoli and Kowalski for the small coupling constant. To derive it, we make the two-mode approximation. With the derived analytic formula, we can identify the quantum numbers of the complex modes for each winding number of the vortex. Our result is consistent with those obtained by the numerical calculation in the case that the winding number is two, three, or four. We prove that the complex modes always exist when the condensate has a highly quantized vortex.

元の言語 | English |
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記事番号 | 043608 |

ジャーナル | Physical Review A - Atomic, Molecular, and Optical Physics |

巻 | 76 |

発行部数 | 4 |

DOI | |

出版物ステータス | Published - 2007 10 9 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

## フィンガープリント Condition for the existence of complex modes in a trapped Bose-Einstein condensate with a highly quantized vortex' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*76*(4), [043608]. https://doi.org/10.1103/PhysRevA.76.043608