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Theory of non-Markovian dynamics in resonance fluorescence spectrum

机译：共振荧光光谱中的非马尔可夫动力学理论

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We present a detailed theoretical study of non-Markovian dynamics in the fluorescence spectrum of a driven semiconductor quantum dot (QD), embedded in a cavity and coupled to a three-dimensional (3D) acoustic phonon reservoir. In particular, we investigate the effect of pure dephasing on one of the side-peaks of the Mollow-triplet spectrum, expressed in terms of the off-diagonal element of the reduced system operator. The QD is modeled as a two-level system with an excited state representing a single exciton, and ground state represents the absence of an exciton. Coupling to the radiative modes of the cavity is treated within usual Born-Markov approximation, whereas dot-phonon coupling is discussed within non-Markovian regime beyond Born approximation. Using an equation-of-motion technique, the dot-phonon coupling is solved exactly and found that the exact result coincides with that of obtained within Born approximation. Furthermore, a Markov approximation is carried out with respect to the phonon interaction and compared with the non-Markovian lineshape for different values of the phonon bath temperature. We have found that coupling to the phonons vanishes for a resonant pump laser. For a non-resonant pump, we have characterized the effect of dot-laser detuning and temperature of the phonon bath on the lineshape. The sideband undergoes a distinct narrowing and acquires an asymmetric shape with increasing phonon bath temperature. We have explained this behavior using a dressed-state picture of the QD levels.
机译：我们提出了一个非驱动动力学的量子点（QD）的荧光光谱中的非马尔可夫动力学的详细理论研究，该量子点嵌入腔中并耦合到三维（3D）声子储能层。特别是，我们研究了纯相移对Mollow-triplet谱的一个侧峰的影响，以简化系统算符的非对角元素表示。 QD被建模为两级系统，其中激发态表示单个激子，基态表示不存在激子。在通常的Born-Markov逼近内处理与腔体辐射模的耦合，而在Born逼近之外的非Markovian范围内讨论点声子耦合。使用运动方程技术，可以精确求解点-声子耦合，并且发现精确结果与在Born近似中获得的结果相符。此外，针对声子相互作用进行马尔可夫近似，并针对声子浴温度的不同值与非马尔可夫线形进行比较。我们发现，对于共振泵浦激光器，与声子的耦合消失了。对于非谐振泵，我们已经表征了点激光失谐和声子浴温度对线形的影响。随着声子浴温度的升高，边带出现明显的变窄并获得不对称形状。我们已经使用QD级别的修饰状态图片解释了此行为。

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