On the ground states of rotating two-component dipolar Bose–Einstein condensates

Abstract

In this paper, we focus on the ground states of rotating two-component dipolar Bose–Einstein condensates. To begin with, we investigate the existence and uniqueness of the ground states with rigorous proofs. Then, we construct a spectrally accurate and efficient numerical scheme by integrating the gradient flow with Lagrange multiplier (GFLM) method and the optimal Kernel Truncation method (KTM) for Dipole-Dipole Interaction (DDI) evaluation to compute the ground states. Finally, we confirm the spectral accuracy, and extensive numerical results are presented to study the effects of different model parameters on the ground states, including the mass distribution, short-range interaction strength, angular velocity and anisotropic trapping potential.