激发诱导退相的随机散射理论：与Anderson-Kubo线型的比较
Stochastic scattering theory for excitation induced dephasing: Comparison to the Anderson-Kubo lineshape
摘要：
在本文中，我们提出了一个量子随机模型的光谱线形状的存在下，一个共同发展的和非平稳的背景人口的激发。从相互作用的玻色子激子的场论描述出发，我们推导出一个简化模型，其中光学激子通过散射耦合到非相干背景介导的屏蔽库仑耦合。海森堡运动方程的光学激子，然后驱动一个辅助的随机人口变量，我们采取的解决方案的Ornstein-Uhlenbeck过程。伊藤引理使我们能够容易地构造和计算关联函数和响应函数。重点是线性响应，我们比较我们的模型与经典的Anderson-Kubo模型。虽然动机相似，但预测的线形存在深刻的差异，特别是在不对称性方面，以及随着背景人口的增加而变化。
英文摘要：
In this paper we present a quantum stochastic model for spectroscopic line-shapes in the presence of a co-evolving and non-stationary background population of excitations. Starting from a field theory description for interacting bosonic excitons, we derive a reduced model whereby optical excitons are coupled to an incoherent background via scattering as mediated by their screened Coulomb coupling. The Heisenberg equations of motion for the optical excitons are then driven by an auxiliary stochastic population variable, which we take to be the solution of an Ornstein-Uhlenbeck process. Itô's Lemma then allows us to easily construct and evaluate correlation functions and response functions. Focusing on the linear response, we compare our model to the classic Anderson-Kubo model. While similar in motivation, there are profound differences in the predicted lineshapes, notably in terms of asymmetry, and variation with increasing background population.
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