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

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

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14 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number043601
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume77
Issue number4
DOIs
Publication statusPublished - 2008 Apr 1

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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