Spin–orbit-coupled Bose–Einstein-condensed atoms confined in annular potentials

Abstract

A spin-orbit-coupled Bose-Einstein-condensed cloud of atoms confined in an annular trapping potential shows a variety of phases that we investigate in the present study. Starting with the noninteracting problem, the homogeneous phase that is present in an untrapped system is replaced by a sinusoidal density variation in the limit of a very narrow annulus. In the case of an untrapped system there is another phase with a striped-like density distribution, and its counterpart is also found in the limit of a very narrow annulus. As the width of the annulus increases, this picture persists qualitatively. Depending on the relative strength between the inter-and the intra-components, interactions either favor the striped phase, or suppress it, in which case either a homogeneous, or a sinusoidal-like phase appears. Interactions also give rise to novel solutions with a nonzero circulation.

Stable Multiring and Rotating Solitons in Two-Dimensional Spin-Orbit-Coupled Bose-Einstein Condensates with a Radially Periodic Potential

“…Especially intriguing is the impact of SO coupling on BEC in the external potentials, where possible symmetries of self-sustained states and their evolution dynamics are determined by the symmetry of the po-tential. It was studied for solitons on a ring [26] and in harmonic trap [27], in toroidal traps [28], Bessel [29], and periodic [30] lattices.…”

Focus on atomtronics-enabled quantum technologies

“…• Spin-orbit-coupled Bose-Einstein-condensed atoms confined in annular potentials, Karabulut et al [15].…”

Spin-orbit-coupled spin-1 Bose-Einstein condensates in a toroidal trap: even-petal-number necklacelike state and persistent flow

“…They are due to Bosons condense simultaneously into multiple energy-minimum states, as distinct from conventional condensations that condense into only one energy minimum. Putting spin-orbitcoupled BECs in a toroidal trap quickly attracts interests [40][41][42][43][44][45][46]. Phase diagram of spin-orbit-coupled spin- * yongping11@t.shu.edu.cn 1/2 BECs in a tight toroidal trap has been identified [41][42][43].…”

“…Putting spin-orbitcoupled BECs in a toroidal trap quickly attracts interests [40][41][42][43][44][45][46]. Phase diagram of spin-orbit-coupled spin- * yongping11@t.shu.edu.cn 1/2 BECs in a tight toroidal trap has been identified [41][42][43]. The non-trivial topology of the toroidal trap generates new features to striped patterns for Raman-induced spin-orbit coupling [41].…”