非相干泵浦极化子凝聚体系统的非线性特性研究

二维极化子凝聚体系统，由于可控、易实现，具有强自相互作用和非平衡特性，受到广泛关注。近年，成熟电子技术推动了大量非相干泵浦实验的开展，非相干泵浦系统固有的非线性特性自然变成研究热点。本项目基于平衡增益、损耗的目的，构建一套描述复合泵浦与parity-time对称泵浦极化子凝聚体的简洁模型；通过多重尺度法，结合数值手段，发展一套行之有效的理论计算方法，探讨体系可能存在的丰富非线性模，系统讨论低维、高维、基阶、高阶非线性模的稳定性问题，设计利用维度、外势、泵浦、非线性形式等多种因素稳定与控制非线性模的方案；此外，提出一种在非平衡系统中产生怪波的有效方法，实现利用各种因素控制怪波，避免光子溃坝现象发生。预期成果可确定描述系统的简洁模型，提供研究该体系的理论方法，阐明稳定非线性模的内在机制，揭示各种因素之间相互竞争和合作机理，促进非平衡量子理论的发展，推动极化子凝聚体系统在光信息处理器件中的应用。

The two-dimensional polariton condensates have been widely concerned due to its some characteristics, including the controllability, the convenient realization, the strong self interaction and the non-equilibrium. In recent years, mature electronic technology has promoted a large number of incoherent pumping experiments, and the coherent nonlinear characteristics of incoherent pumping system naturally become a research hotspot. For balancing gain and loss, we introduce the compound pumping or the parity-time symmetrical pumping. Then, we construct a simple model to describe the polariton condensates. By using the multi-scale method and the numerical simulations, we find the various nonlinear modes of the system, and discuss the stability of low-dimensional, high-dimensional, ground and high-order nonlinear modes. In addition, an effective method of generating rogue waves is proposed in the nonequilibrium system, furthermore, we can control it and avoid the occurrence of photon dam break. The expected results can determine the concise model, provide the reliable method, clarify the internal mechanism to stabilize the nonlinear mode, reveal the mechanism of competition and cooperation among various factors, accelerate the development of non-equilibrium quantum theory, and promote the application of polariton condensates in optical information processing.