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arXiv 1608.07557cond-mat.mes-hall
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非相干泵浦激子-极化激元凝聚体的非厄米耦合模理论

Non-Hermitian coupled-mode theory for incoherently pumped exciton-polariton condensates

Saeed Khan, Hakan E. Türeci

摘要:

广义Gross-Pitaevskii方程(gGPE)是描述非相干泵浦激子-极化激元凝聚动力学的有效唯象方程。然而,gGPE的蛮力数值模拟提供了很少的物理洞察任意泵送配置下的冷凝物形成,并要求在计算资源。基于线性化动力学的非厄米特生成元的本征模,本文介绍了在任意空间分布的非相干泵浦下极化激元凝聚的模式描述。一个泵依赖的基础上,然后引入制定一个时间耦合模式理论,捕捉凝聚动力学的存在下,所有的非线性相互作用。模拟使用一组模式为一个给定的泵浦和捕获配置同意非常好的gGPE在不同的动力学制度的全面整合,支持这种模式描述的有效性,同时也提供了一个加速的模拟时间。

英文摘要:

The generalized Gross-Pitaevskii equation (gGPE) is an effective phenomenological description for the dynamics of incoherently pumped exciton-polariton condensates. However, a brute force numerical simulation of the gGPE provides little physical insight into condensate formation under arbitrary pumping configurations, and is demanding in terms of computational resources. We introduce in this paper a modal description of polariton condensation under incoherent pumping of arbitrary spatial profile, based on eigenmodes of the non-Hermitian generator of the linearized dynamics. A pump-dependent basis is then introduced to formulate a temporal coupled-mode theory that captures condensate dynamics in the presence of all nonlinear interactions. Simulations using a single set of modes for a given pumping and trapping configuration agree very well with a full integration of the gGPE in diverse dynamical regimes, supporting the validity of this modal description, while also providing a speedup in simulation times.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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