Fig. 1. Exciton polariton system in microcavity of quantum vortex gyroscope. (a) Flat microcavity structure driven by pump light; (b) System of exciton polariton condensates on the rotational state; (c) Formation process of exciton polariton under light excitation^[15]

Fig. 2. Numerical model construction method

Fig. 3. Difference methods in numerical models

Fig. 4. Influence of different pump light positions on the evolution of quantum vortex gyroscope. (a)-(c) Relative position of the pump light and the ring quantum well, where the ring quantum well is the part surrounded by a white dashed circle, with the inside diameter of 5 μm and the outer diameter of 10 μm; (d)-(f) Evolution law of exciton polariton in quantum gyro system with time in period of 40 不同泵浦光位置对量子涡旋陀螺仪演化的影响。(a)~(c) 泵浦光与环形量子阱的相对位置，其中环形量子阱是被白色虚线圈包围的部分，内径为5 μm，外径为10 μm；(d)~(f) 量子涡旋陀螺仪体系中激子极化激元随时间的演化规律，演化时间为40

Fig. 5. Evolution stability of the superposition state of the vortex only under the action of the pump light and the evolution stability under the combined action of the pump light/signal light. (a) Influence of pump light size and pump light intensity on the evolution characteristics of the system only under the action of pump light; (b) Joint influence of pump light and signal light on superposition state of vortex

Fig. 6. Evolution characteristics of the superposition state of the exciton polarization exciton of the quantum vortex gyroscope under the different positional relationship between the pump light and the signal light. (a), (e) and (i) Different positional relationship between pump light and signal light (the red area is pump light, and the blue area is signal light); (b)-(d) Vortex superposition state with orbital angular momentum ±1@ , and ; (f)-(h) Vortex superposition state with orbital angular momentum ±1@ , and ; (j)-(l) Vortex superposition state with orbital angular momentum ±1@ , and 泵浦光与信号光不同位置关系下量子涡陀螺仪激子极化激元叠加态演化特征。(a)、(e)和(i) 泵浦光与信号灯的不同位置关系(红色区域为泵浦光，蓝色区域为信号灯)；(b)~(d) 轨道角动量±1@ , 和 的涡叠加态；(f)~(h) 轨道角动量±1@ , 和 的涡叠加态；(j)~(l)轨道角动量±1@ , and 的叠加态涡旋

Fig. 7. Real-space distribution and evolution characteristic curve of the superposition state of the exciton polarization exciton when the effective mass isat the critical value that makes the system unstable

Fig. 8. Correlation between the effective mass and the evolution process of the superposition state of exciton polarization exciton vortex

Table 1. Key parameters of the numerical model and the corresponding parameter meaning