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Canadian Journal of Physics

Vortex generation in spin–orbit-coupled spin-1 dipolar Bose atomic gases

Chen-Yang Wang, Li-Hao Zhang, Shi-Bo Wang, Jia Liu, Ya-Nan Zhou, Qiang Zhao

Published Jan 1, 2026• 0 citations
Publisher

Abstract

In this paper, we investigate vortex formation in spin–orbit-coupled (SOC) spin-1 dipolar Bose–Einstein condensates. We focus on the differences in time evolution of several physical quantities such as vorticity profiles, integrated vorticity, angular momentum, and compressible and incompressible kinetic energy. Numerical results show that the three components exhibit rich dynamical behaviors, depending on the competition between SOC and dipole–dipole interactions. Additionally, we also compare different rotation frequencies and contact interactions, showing that they play a significant role in these physical quantities.

DOI
10.1139/cjp-2026-0028

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In this paper, we study the spin dynamics of spin-orbit-coupled (SOC) spin-2 Bose–Einstein condensates (BECs) with dipole–dipole interaction (DDI). Numerical results are obtained by solving the nonlocal Gross–Pitaevskii equation. Our discussions are divided into two parts. In the absence of DDI, the spin dynamics presents periodic oscillation. Increasing the magnetization makes the amplitude increase, and increasing SOC strength accelerates the spin dynamics and thus changes the period. Nevertheless, in the presence of DDI, the periodicity oscillation of spin dynamics is broken. The thermalization time decreases with the increase of magnetization for fixed SOC strength. In addition, the thermalization time becomes zero with strong SOC strength when magnetization is fixed. We also show the formation of domain in density profile when DDI is considered. Moreover, the components m = 2 and m = −2 exchange their location with a little increase of SOC strength. This is a specific reflection of the competition between the SOC and DDI.
We study the influence of dipole–dipole interaction on the formation of vortices in a rotating dipolar Bose–Einstein condensate (BEC) of 52 Cr and 164 Dy atoms in quasi two-dimensional geometry. By numerically solving the corresponding time-dependent mean-field Gross–Pitaevskii equation, we show that the dipolar interaction enhances the number of vortices, while a repulsive contact interaction increases the stability of the vortices. Furthermore, an ordered vortex lattice of a relatively large number of vortices is found in a strongly dipolar BEC.
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