Analytical study of parameter regions of dynamical instability for two-component Bose-Einstein condensates with coaxial quantized vortices

@article{Hoashi2016AnalyticalSO,
  title={Analytical study of parameter regions of dynamical instability for two-component Bose-Einstein condensates with coaxial quantized vortices},
  author={Masakazu Hoashi and Y. Nakamura and Yoshiya Yamanaka},
  journal={Physical Review A},
  year={2016},
  volume={93},
  pages={043622}
}
The dynamical instability of weakly interacting two-component Bose--Einstein condensates with coaxial quantized vortices is analytically investigated in a two-dimensional isotopic harmonic potential. We examine whether complex eigenvalues appear on the Bogoliubov--de Gennes equation, implying dynamical instability. Rather than solving the Bogoliubov--de Gennes equation numerically, we rely on a perturbative expansion with respect to the coupling constant which enables a simple, analytic… 
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