吾人提出了一種完全非平衡模型，利用此模型吾人可以研究許多物理現象發生在磁場中的旋量極化激子凝聚體。由於基曼分裂（Zeeman splitting），磁場中的旋量極化激子的兩個自旋方向的散失率是不同的並且受磁場的影響；因此，磁場中的旋量極化激子凝聚體的單個自旋組件具有其自己的起始激發功率，在不同的激發功率和磁場強度下，我們發現磁場中的旋量極化激子凝聚體的基曼分裂和圓偏極化程度具有奇異現象。當兩個與自旋相關的激發功率高於起始激發功率與磁場強度低於磁場的臨界強度時，我們發現磁場的圓偏極化程度越來越強，並且基曼分裂被抵銷掉，與未凝聚的旋量極化激子基曼分裂相比，旋量極化激子凝聚體的基曼分裂顯示反號並且分裂幅度顯著增加。吾人擬在研究磁場中的旋量極化激子凝聚體的激發能中應用這種完全非平衡模型，由於存在有磁場，激發功率所產生的非平衡擾動被磁場抑制。根據磁場中的旋量極化激子凝聚體的激發色散關係，我們打算在旋量極化激子凝聚體內透過移動缺陷來測試旋量極化激子凝聚體在磁場中的超流性，由於磁場抑制了旋量極化激子凝聚體的非平衡擾動，非平衡的旋量極化激子凝聚體的超流性將類似於平衡態的玻色-愛因斯坦凝聚體。分析完了超流體的物理現象後，我們將繼續研究旋量極化激子凝聚體在磁場中的渦旋狀態。根據激發功率的偏極化度，半量子渦旋的自旋紋理可以顯示出半量子的skyrmions或整數量子的skyrmions。一個重要且值得探討的問題就是，塞曼分裂如何影響發生在旋量極化激子凝聚體中的半量子skyrmions和整數量子skyrmions的自旋紋理和穩定性。
A complete-nonequilibrium model is proposed to investigate spinor exciton-polariton condensates (SEPCs) in a magnetic field. Due to the Zeeman splitting (ZS), the loss rates of two spin directions of exciton-polaritons in a magnetic field are distinct and affected by the magnetic field. Therefore, the individual spin component of a SEPC has its own threshold pump power. We investigate the ZS and degree of circular polarization of the SEPC as a function of the excitation power and magnetic field. Above both spin-dependent threshold pump powers, we find an increasing degree of circular polarization with the magnetic field and a quenching of the ZS below a critical strength of the magnetic field. The ZS of a SEPC shows a reverse sign and its magnitude is increasing significantly compared to the uncondensed exciton-polartion ZS. Applying this complete-nonequilibrium model in the investigation of the excitation of a SEPC, the nonequilibrium fluctuations created by the pump are supposedly suppressed due to the presence of a magnetic field. From the dispersion relations of excitations of SEPCs for various pump strengths, we intend to test the superfluidity of SEPCs in a magnetic field by moving a defect within SEPCs. Due to the suppressed nonequilibrium fluctuations of a SEPC in a magnetic field, the superfluidity of a nonequilibrium SEPC is like to a equilibrium Bose-Einstein condensate. After analyzing the physical phenomena of superfluidity, we would continue to study vortex states of SEPCs in a magnetic field. Depending on the pump polarizations, the spin texture of a half-quantum vortex could show a half-skyrmion or skyrmion. It is an important issue how the Zeeman splitting affects the spin texture and stabilities of half-skyrmions (merons) and skyrmions in a SEPC.
