Collapse dynamics of a ${}^{176}\textrm{Yb}\,$-${}^{174}\textrm{Yb}$ Bose-Einstein condensate

In this paper, we present a theoretical study of a two-component Bose-Einstein condensate composed of Ytterbium (Yb) isotopes in a three dimensional anisotropic harmonic potential. The condensate consists of a mixture of ${}^{176}\textrm{Yb}$ atoms which have a negative s-wave scattering length and ${}^{174}\textrm{Yb}$ atoms having a positive s-wave scattering length. We study the ground state as well as dynamic properties of this two-component condensate. Due to the attractive interactions between ${}^{176}\textrm{Yb}$ atoms, the condensate of ${}^{176}\textrm{Yb}$ undergo a collapse when the particle number exceed a critical value. The critical number and the collapse dynamics are modified due to the presence of ${}^{174}\textrm{Yb}$ atoms. We use coupled two-component Gross-Pitaevskii equations to study the collapse dynamics. The theoretical results obtained are in reasonable agreement with the experimental results of Fukuhara {\em et al.} [PRA{\bf 79}, 021601(R) (2009)].