Condition for emergence of complex eigenvalues in the Bogoliubov-de Gennes equations

Y. Nakamura*, M. Mine, M. Okumura, Y. Yamanaka

*この研究の対応する著者

研究成果: Article査読

18 被引用数 (Scopus)

抄録

The condition for the appearance of dynamical instability of the Bose-condensed system, characterized by the emergence of complex eigenvalues in the Bogoliubov-de Gennes equations, is studied analytically. It is concluded that the degeneracy between a positive-norm eigenmode and a negative-norm one is essential for the emergence of complex modes. Based on the conclusion, we justify the two-mode approximation applied in our previous work, in which we analytically studied the condition for the existence of complex modes when the condensate has a highly quantized vortex.

本文言語English
論文番号043601
ジャーナルPhysical Review A - Atomic, Molecular, and Optical Physics
77
4
DOI
出版ステータスPublished - 2008 4月 1

ASJC Scopus subject areas

  • 原子分子物理学および光学

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