Miscibility of Binary Bose-Einstein Condensates with $p$-wave Interaction

• URL: http://arxiv.org/abs/2404.09294v1
• Date: Sun, 14 Apr 2024 16:09:57 GMT
• Title: Miscibility of Binary Bose-Einstein Condensates with $p$-wave Interaction
• Authors: Min Deng, Ming Xue, Jinghan Pang, Hui Luo, Zhiguo Wang, Jinbin Li, Dayou Yang,
• Abstract summary: We study the miscible-immiscible transition of a binary BEC mixture in the presence of interspecies $p$-wave interaction. Our study uncovers a dual effect -- either enhance or reduce miscibility -- of positive interspecies $p$-wave interaction.
• Score: 17.727214833750335
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: 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.

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