一维驱动-耗散激子-极化子凝聚体的相图
Phase diagram of one-dimensional driven-dissipative exciton-polariton condensates
AI总结：
本研究基于随机广义Gross-Pitaevskii方程，探讨了一维驱动-耗散激子-极化子凝聚体偏离KPZ相的机制，识别出孤子图案、涡旋无序和无缺陷储层纹理三种新区域，并绘制了完整的相图。
摘要：
我们考虑在非相干泵浦下的一维驱动-耗散激子-极化子凝聚体，由随机广义 Gross-Pitaevskii 方程描述。已有研究表明，在某些假设下，凝聚体的相位动力学可以映射到 Kardar-Parisi-Zhang (KPZ) 方程，并且凝聚体的时间相干性遵循由 KPZ 通用指数表征的拉伸指数衰减。在这项工作中，我们确定了导致偏离 KPZ 相的主要机制，并识别出其他三种可能的区域：(i) 强相互作用和弱噪声下的孤子图案区域，由类似于暗孤子的局域结构填充；(ii) 高噪声和弱相互作用下的涡旋无序区域，由时空中点状相位缺陷主导；(iii) 无缺陷的储层纹理区域，其中绝热近似失效。我们通过时空图、一阶关联、动量分布和拓扑缺陷密度来表征每个区域。因此，我们获得了在变化的噪声、泵浦强度和相互作用强度下的相图。我们的预测有望在具有激子-极化子的最先进实验中得到观察。
英文摘要：
We consider a one-dimensional driven-dissipative exciton-polariton condensate under incoherent pump, described by the stochastic generalized Gross-Pitaevskii equation. It was shown that the condensate phase dynamics maps under some assumptions to the Kardar-Parisi-Zhang (KPZ) equation, and the temporal coherence of the condensate follows a stretched exponential decay characterized by KPZ universal exponents. In this work, we determine the main mechanisms which lead to the departure from the KPZ phase, and identify three possible other regimes: (i) a soliton-patterned regime at large interactions and weak noise, populated by localized structures analogue to dark solitons; (ii) a vortex-disordered regime at high noise and weak interactions, dominated by point-like phase defects in space-time; (iii) a defect-free reservoir-textured regime where the adiabatic approximation breaks down. We characterize each regime by the space-time maps, the first-order correlations, the momentum distribution and the density of topological defects. We thus obtain the phase diagram at varying noise, pump intensity and interaction strength. Our predictions are amenable to observation in state-of-art experiments with exciton-polaritons.
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