  The density profiles of trapped two-component Bose-Einstein condensates (BEC)
and its microscopic interaction with Laguerre Gaussian (LG) beam are studied.
We consider the $^{87}$Rb BEC in two hyperfine spin components. The wavelength
of the LG beam is assumed to be comparable to the atomic de-Broglie wavelength.
Competitions between intra- and inter-component interactions produce
interesting density structures of the ground state of BEC. We demonstrate
vortex-antivortex interference and its dependence on the inter-component
interactions and Raman transitions.
