At finite temperature, the stable equilibrium states of coupled two-component Bose Einstein condensations (BECs) with the same conformal mass in both non-rotating and rotating condition can be obtained by studying its real dynamics via holography. The equilibrium state is the state where the free energy reaches the minimum and does not change any more. In the case of no rotation, the spatial phase separated states of the two components become more stable than the miscible condensates state when the direct repulsive inter-component coupling constant \(\eta>\eta _c>0\). Under rotation, the quantum fluid reveals four equilibrium structures of vortex states by varying the \(\eta \) from the miscible region to the phase separated region. Among the four structures, the vortex sheet solution is the most exotic one that appears in the phase separated region.

在有限温度下，通过全息研究其真实动力学，可以在非旋转和旋转条件下获得具有相同共形质量的偶合双组分玻色爱因斯坦缩合（BEC）的稳定平衡态。平衡状态是自由能达到最小值且不再变化的状态。在不旋转的情况下，当直接排斥组分间的耦合常数\（\ eta> \ eta _c> 0 \）时，两个组分的空间相分离状态变得比可溶凝结状态更稳定。在旋转下，量子流体通过改变\（\ eta \）揭示了涡态的四个平衡结构。从可混溶区域到相分离区域。在这四种结构中，涡旋片溶液是出现在相分离区域中的最奇特的一种。