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Based on the numerical solutions of the coupled Gross-Pitaevskii equations, the spin-textures of a Bose-Einstein condensate with two kinds of spin-1 atoms have been studied. Besides, the probability densities of an atom in spin component $mu$ and of two correlated atoms one in $mu$ and one in $ u$ have been calculated. By an analysis of the densities, four types of texture have been found. (i) Both species are in polar phase. (ii) Both species are in ferromagnetic (f) phase with all the spins lying along a direction. (iii) Both species are in f phase but the spins of different species are lying along opposite directions. (iv) One species in f phase, one species in quasi-f phase (where the spins are divided into two groups lying along opposite directions). This finding simplifies the previous classification. Moreover, we found that the variation and transition of the spin-textures can be sensitively reflected by these probability densities. Therefore, the theoretical and experimental studies on these densities provide a way to discriminate the spin-textures and/or to determine the parameters (say, the strengths of interaction) involved.
We have performed a quantum mechanic calculation (including solving the coupled Gross-Pitaevskii equations to obtain the spatial wave functions, and diagonalizing the spin-dependent Hamiltonian in the spin-space to obtain the total spin state) togeth
We have solved numerically the ground states of a Bose-Einstein condensate in the presence of dipolar interparticle forces using a semiclassical approach. Our motivation is to model, in particular, the spontaneous spin textures emerging in quantum ga
Compared to single-component Bose-Einstein condensates, spinor Bose-Einstein condensates display much richer dynamics. In addition to density oscillations, spinor Bose-Einstein condensates exhibit intriguing spin dynamics that is associated with popu
We study the Mott phase of three-component bosons, with one particle per site, in an optical lattice by mapping it onto an SU(3) spin model. In the simplest case of full SU(3) symmetry, one obtains a ferromagnetic Heisenberg model. Introducing an SU(
We analytically and numerically investigate the ground state of the spin-orbit coupled spin-1 Bose-Einstein condensates in an external parabolic potential. When the spin-orbit coupling strength $kappa$ is comparable with that of the trapping potentia