Abstract Formation of exciton-polariton condensate due to incoherent pumping of an excitonic reservoir is considered. The condensate dynamics is governed by a system of stochastic integro-differential equations of Langevin's type corresponding to the model developed by Elistratov and Lozovik [12] . Attention is concentrated on non-Markovian interaction of the condensate with the excitonic and photonic reservoirs. It is shown that dynamical memory caused by the non-Markovian interaction qualitatively changes the condensate behavior as compared to the Markovian regime. In particular, it diminishes the threshold of pumping strength for the condensate emergence. Also, it is found that the non-Markovian regime leads to relaxation oscillations corresponding to population exchange between the condensate and the excitonic reservoir. Increasing of incoherent pumping strength leads to chaos of relaxation oscillations that is accompanied by random-like transitions between the lower and upper polaritonic states.

中文翻译：

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激子-极化子玻色凝聚动力学中的非马尔可夫效应

摘要 考虑了激子储层非相干泵送导致激子-极化子凝聚的形成。凝结水动力学由与 Elistratov 和 Lozovik [12] 开发的模型相对应的 Langevin 型随机积分微分方程系统控制。注意力集中在冷凝物与激子和光子储层的非马尔可夫相互作用上。结果表明，与马尔可夫机制相比，由非马尔可夫相互作用引起的动态记忆定性地改变了冷凝行为。特别是，它降低了凝结水出现的泵送强度阈值。此外，发现非马尔可夫状态导致对应于冷凝物和激子储层之间的种群交换的弛豫振荡。