Fragmented Condensate in a Two-Component Bose Gas with p-wave Interactions

In this Letter, we discuss the effects of p-wave attractive interaction in a spin-1/2 Bose gas. With a repulsive s-wave background interaction, we show that for weak p-wave attraction, one obtains a standard Bose-Einstein condensate at zero momentum with spins fully polarized. Upon increasing the p-wave attraction, a fragmented condensate state with singlet pair formation and p-wave correlation emerges. We determine the transition point and investigate the properties of the fragmented condensate using an ansatz wave function. We construct the relevant Gross-Pitaevskii equations for the fragmented condensate and show that the sound velocities are anisotropic and may vanish in specific directions. Based on the many-body wave function, we also discuss the low-energy spin excitations of the system.