Fragmented Condensate in a Two-Component Bose Gas with $p$-wave Interactions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917575879819264 |
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| author | Liu, Mingyang Zhang, Shizhong |
| author_facet | Liu, Mingyang Zhang, Shizhong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14751 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fragmented Condensate in a Two-Component Bose Gas with $p$-wave Interactions Liu, Mingyang Zhang, Shizhong Quantum Gases 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. |
| title | Fragmented Condensate in a Two-Component Bose Gas with $p$-wave Interactions |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2401.14751 |