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Bulletin of the American Physical Society

Vortex structures in ultra-rapidly rotating two-component Bose-Einstein condensates

C.-H. Hsueh, I.-G. Liu, Shih-Chuan Gou, W. C. Wu

Published Mar 24, 2011• 0 citations
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We consider a rapidly rotating two-component Bose-Einstein condensate with short-range sss-wave interactions as well as dipolar coupling. We calculate the phase diagram of vortex lattice structures as a function of the intercomponent sss-wave interaction and the strength of the dipolar interaction. We find that the long-range interactions cause new vortex lattice structures to be stable and lead to a richer phase diagram. Our results reduce to the previously found lattice structures for short-range interactions and single-component dipolar gases in the corresponding limits.
We investigate the Moiré superlattice structures generated by the interplay between vortex lattice and optical lattice in two-component Bose–Einstein condensates. Square vortex lattices are generated in both components of the rapidly rotating condensates, and an optical lattice with the same geometry as the vortex lattice is acted on the condensates for a short interval. The optical lattice provides a sudden phase imprint, leading to the appearance of a transient phonon lattice. Such lattice, combined with vortex lattice and twisted an angle from each other, results in the generation of transient Moiré superlattice. The possible superlattice patterns under different twist angles are studied, and the corresponding vertex spacing is determined. We also study the relative shift of the Moir é superlattices in two components of the condensates and give the corresponding shift vector. Our results enrich the quantum phases in cold atomic systems, and contribute to the understanding of Moiré physics in these systems.
We study a harmonically trapped highly oblate two-component Bose-Einstein condensate, which consists of both dipolar and scalar bosonic atoms. When the dipoles are polarized along the symmetry axis of the trap, the dipolar atoms' density exhibits a flat-disk regime at the trap center. It is found that the dipolar component is easier to induce the first vortex when the trap is rotating about the symmetry axis, if the long-range dipolar interactions dominate over the contact interactions, and vice versa. Vortex lattices with the compensating triangular, square, and stripe structures can be formed respectively under rapid rotation. When the dipoles are polarized perpendicular to the rotation axis, the two components are generically phase separated into a kernel-shell structure due to the anisotropic dipole-dipole interactions. While the giant-hole states are induced under slow rotation, the compensating stripe vortex structures are stabilized under fast rotation. In particular, a stripe-splitting structure is found to be competing with the stripe ones. These features are expected to be observed in the mixture of 52Cr{}^{52}\mathrm{Cr}52Cr atoms in the two different spin states.