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We investigate phase separation of Bose-Einstein condensates (BECs) oftwo-component atoms and one-component molecules with a homonuclear Feshbachresonance. We develop a full model for dilute atomic and molecular gasesincluding correlation of the Feshbach resonance and all kinds of interparticleinteractions, and numerically calculate order parameters of the BECs inspherical harmonic oscillator traps at zero temperature with the Bogoliubov'sclassical field approximation. As a result, we find out that the Feshbachresonance can induce two types of phase separation. The actual phase structuresand density profiles of the trapped gases are predicted in the whole parameterregion, from the atom dominant regime to the molecule dominant regime. We focuson the role of the molecules in the phase separation. Especially in the atomdominant regime, the role of the molecules is described through effectiveinteractions derived from our model. Furthermore we show that a perturbativeand semi-classical limit of our model reproduces the conventional atomic BEC(single-channel) model.

Phase Separation of Multi-Component Bose-Einstein Condensates of Trapped Atoms and Molecules with a Homonuclear Feshbach Resonance