Two ground-state bright solitons in fractional-order spin-orbit-coupled Bose-Einstein condensates

Y Y Bao; S R Li; Y H Liu; T F Xu

doi:10.1088/1361-648X/acd0f9

Two ground-state bright solitons in fractional-order spin-orbit-coupled Bose-Einstein condensates

J Phys Condens Matter. 2023 May 9;35(31). doi: 10.1088/1361-648X/acd0f9.

Authors

Y Y Bao¹, S R Li¹, Y H Liu², T F Xu¹

Affiliations

¹ Hebei Key Laboratory of Microstructural Material Physics, School of Science, Yanshan University, Qinhuangdao 066004, People's Republic of China.
² School of Science, Yanshan University, Qinhuangdao 066004, People's Republic of China.

PMID: 37105179
DOI: 10.1088/1361-648X/acd0f9

Abstract

We study two types of bright solitons in zero and non-zero detuning spin-orbit-coupled (SOC) Bose-Einstein condensates in fractional effect by variational and imaginary-time evolution method. The results show that the variation of SOC with fractional kinetic energy operator affects the existence and form of solitons. In particular, we found that SOC strengthγ=1.0could be a transition point. In other words, forγ<1.0andγ⩾1.0, the soliton states and pseudo-spin polarization in non-zero detuning show opposite changes. In addition, moving bright solitons with zero and non-zero detuning are studied.

Keywords: Bose–Einstein condensates; Lévy index; solitons; spin–orbit coupling.