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

Mingyang Liu; Shizhong Zhang

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arXiv · 2401.14751

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

Mingyang Liu·Shizhong Zhang

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Abstract

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.

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Mingyang Liu, Shizhong Zhang. 2024-01-26. Fragmented Condensate in a Two-Component Bose Gas with $p$-wave Interactions. https://arxiv.org/abs/2401.14751

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