Miscibility of Binary Bose-Einstein Condensates with $p$-wave Interaction
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arXiv
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| Format: | Preprint |
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2024
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| author | Deng, Min Xue, Ming Pang, Jinghan Luo, Hui Wang, Zhiguo Li, Jinbin Yang, Dayou |
| author_facet | Deng, Min Xue, Ming Pang, Jinghan Luo, Hui Wang, Zhiguo Li, Jinbin Yang, Dayou |
| contents | We investigate the ground-state phase diagram of a binary mixture of Bose-Einstein condensates (BECs) with competing interspecies $s$- and $p$-wave interactions. Exploiting a pseudopotential model for the $l=1$ partial wave, we derive an extended Gross-Pitaevskii (GP) equation for the BEC mixture that incorporates both $s$- and $p$-wave interactions. Based on it, we study the miscible-immiscible transition of a binary BEC mixture in the presence of interspecies $p$-wave interaction, by combining numerical solution of the GP equation and Gaussian variational analysis. Our study uncovers a dual effect -- either enhance or reduce miscibility -- of positive interspecies $p$-wave interaction, which can be precisely controlled by adjusting relevant experimental parameters. By complete characterizing the miscibility phase diagram, we establish a promising avenue towards experimental control of the miscibility of binary BEC mixtures via high partial-wave interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09294 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Miscibility of Binary Bose-Einstein Condensates with $p$-wave Interaction Deng, Min Xue, Ming Pang, Jinghan Luo, Hui Wang, Zhiguo Li, Jinbin Yang, Dayou Quantum Gases Quantum Physics We investigate the ground-state phase diagram of a binary mixture of Bose-Einstein condensates (BECs) with competing interspecies $s$- and $p$-wave interactions. Exploiting a pseudopotential model for the $l=1$ partial wave, we derive an extended Gross-Pitaevskii (GP) equation for the BEC mixture that incorporates both $s$- and $p$-wave interactions. Based on it, we study the miscible-immiscible transition of a binary BEC mixture in the presence of interspecies $p$-wave interaction, by combining numerical solution of the GP equation and Gaussian variational analysis. Our study uncovers a dual effect -- either enhance or reduce miscibility -- of positive interspecies $p$-wave interaction, which can be precisely controlled by adjusting relevant experimental parameters. By complete characterizing the miscibility phase diagram, we establish a promising avenue towards experimental control of the miscibility of binary BEC mixtures via high partial-wave interactions. |
| title | Miscibility of Binary Bose-Einstein Condensates with $p$-wave Interaction |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2404.09294 |