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

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.

10+3 pages, 6 figures, Phys. Rev. A (2024)

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• Probing $p$-wave effects in spin-density separation of Bose mixtures with the dynamic structure factor
• Non-resonant inter-species interaction and its effect on the position response function of cold atoms
• Resonantly enhanced superconductivity mediated by spinor condensates