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We study ultracold bosons in three dimensions with an anisotropicRashba-Dresselhaus spin-orbit coupling. We first carry out the exact summationof ladder diagrams for the two-boson t-matrix at zero energy. Then, with thet-matrix as the effective interaction, we find the ground-state phase diagramsof bosons in mean field as a function of the spin-orbit coupling, theanisotropy, and the scattering lengths between particles in the same and indifferent pseudospin states. The resulting phase diagrams have much richerstructures than those obtained using mean-field couplings, exhibiting threedifferent phases: a plane-wave condensate, a striped condensate, and anunstable phase. The differences between the present approach using the t-matrixcompared to using mean-field couplings is significant for large scatteringlengths, large spin-orbit-coupling strength, or small anisotropy.

Ground-state phases of ultracold bosons with Rashba-Dresselhaus spin-orbit coupling