动力学无序下激子光学线形的量子相干性特征
Signatures of quantum coherence in the optical line shape of an exciton in the presence of dynamic disorder
摘要：
我们讨论了在动力学无序的情况下，量子相干性对激子的光学线形的影响。我们考虑一个一维激子系统，由两个水平放置在规则的间隔。利用Kubo的随机Liouville方程（K-QSLE）对谱线形状进行了详细的解析计算。我们利用的观察，在网站表示，我们的系统与常数非对角耦合J的哈密顿量是一个三对角Toeplitz矩阵（TDTM），其特征值和本征函数是已知的解析。这种识别对于长链特别有用，其中TDTM的本征值有助于了解静态和快速调制限制之间的交叉。我们将新的结果总结如下。(i)在慢调制极限下，当浴槽相关时间较大时，空间相关的影响不可忽略。在这里，线的形状被加宽，并且峰的数量增加，超过从TDTM（恒定的非对角耦合元件J并且没有波动）获得的峰的数量。(ii)然而，在快速调制限制时，浴相关时间是小的，空间相关性是不太重要的（iii）重要的是，我们发现，线的形状可以捕捉到，量子相干性的影响，在这两个限制不同。
英文摘要：
We address the effects of quantum coherences on the optical line shape of an exciton in the presence of dynamic disorder. We consider a one-dimensional excitonic system that consists of two levels placed at regular intervals. Detailed analytical calculations of line shape have been carried out by using Kubo's stochastic Liouville equation (K-QSLE). We make use of the observation that in the site representation, the Hamiltonian of our system with constant off-diagonal coupling J is a tridiagonal Toeplitz matrix (TDTM) whose eigenvalues and eigen functions are known analytically. This identification is particularly useful for long chains where the eigen values of TDTM help to understand crossover between static and fast modulation limits. We summarize the new results as follows. (i) In the slow modulation limit when the bath correlation time is large, the effects of spatial correlation are not negligible. Here the line shape is broadened and the number of peak increases beyond the ones obtained from TDTM (constant off-diagonal coupling element J and no fluctuation). (ii) However, in the fast modulation limit when the bath correlation time is small, the spatial correlation is less important (iii) Importantly, we find that the line shape can capture that quantum coherence affects in the two limits differently.
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