Spinor dynamics in a mixture of spin-1 and spin-2 Bose-Einstein condensates
Yujiro Eto, Hitoshi Shibayama, Hiroki Saito, and Takuya Hirano

TL;DR
This paper investigates the spinor dynamics of mixed spin-1 and spin-2 Bose-Einstein condensates of 87Rb atoms, developing a technique for individual spin control and analyzing their interactions and evolution.
Contribution
It introduces a simultaneous Ramsey interferometry technique for controlling two spin states and studies their interaction-driven dynamics in a mixed condensate.
Findings
Demonstrated control of spin-1 and spin-2 states with similar Zeeman splittings.
Observed dephasing and rephasing in spin-1 due to interaction with spin-2.
Estimated scattering lengths between spin-1 and spin-2 atoms.
Abstract
The spinor dynamics of Bose-Einstein condensates of 87Rb atoms with hyperfine spins 1 and 2 were investigated. A technique of simultaneous Ramsey interferometry was developed for individual control of the vectors of two spins with almost the same Zeeman splittings. The mixture of spinor condensates is generated in the transversely polarized spin-1 and the longitudinally polarized spin-2 states. The time evolution of the spin-1 condensate exhibits dephasing and rephasing of the Larmor precession due to the interaction with the spin-2 condensate. The scattering lengths between spin-1 and -2 atoms were estimated by comparison with the numerical simulation using the Gross-Pitaevskii equation. The proposed technique is expected to facilitate the further study of multiple spinor condensates.
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