极化激元凝聚中的连续和不连续暗孤子
Continuous and discontinuous dark solitons in polariton condensates
摘要：
激子-极化激元的玻色-爱因斯坦凝聚体由两个薛定谔方程组描述。由于激子相互作用的非线性引起的频带的暗孤子的解决方案，这是发现分析的无损零速度的情况下。孤子的远场值随着工作频率在整个频带上的变化而从零变化到无穷大。对于正失谐（光子频率高于激子频率），当工作频率超过激子频率时，激子波函数变得不连续。这种现象超出了Gross-Pitaevskii（GP）模型的有效性参数范围。在其有效性范围内，我们从初始薛定谔系统导出了单模GP模型，并利用愈合长度的概念比较了连续极化激元孤子和GP孤子。
英文摘要：
Bose-Einstein condensates of exciton-polaritons are described by a Schrödinger system of two equations. Nonlinearity due to exciton interactions gives rise to a frequency band of dark soliton solutions, which are found analytically for the lossless zero-velocity case. The soliton's far-field value varies from zero to infinity as the operating frequency varies across the band. For positive detuning (photon frequency higher than exciton frequency), the exciton wavefunction becomes discontinuous when the operating frequency exceeds the exciton frequency. This phenomenon lies outside the parameter regime of validity of the Gross-Pitaevskii (GP) model. Within its regime of validity, we give a derivation of a single-mode GP model from the initial Schrödinger system and compare the continuous polariton solitons and GP solitons using the healing length notion.
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