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arXiv 1609.09673quant-phphysics.atom-ph
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关于开放STIRAP问题的探讨

A view on the open STIRAP problem

Thomas Mathisen, Jonas Larson

AI总结:

本文通过广义Bloch方程研究开放STIRAP问题,详细分析了Liouvillian矩阵的谱和本征态,发现自发辐射下的泵浦项和非零Liouvillian能隙能提升非完美绝热驱动的成功率,实现环境辅助物理操作。

摘要:

我们通过将开放STIRAP问题表述为广义Bloch方程来进行研究。以这种形式表达后,对所得的Liouvillian矩阵进行了详细分析。事实证明,开放STIRAP模型的大多数发现可以从Liouvillian矩阵的谱和本征态来理解。作为一个非厄米矩阵,我们特别讨论了它的数学结构,包括识别其本征向量的物理意义以及系统的例外点等。我们还讨论了Liouvillian能隙的重要性,它通常意味着任何状态都会变得混合。然而,在某些情况下,例如受自发辐射影响的STIRAP模型,运动方程中会出现一种泵浦项,其作用是抵消能隙引起的衰减,从而使相干性得以保持。由于STIRAP驱动并非完美的绝热过程,我们还发现,对于自发辐射,非零Liouvillian能隙的存在实际上提高了该过程的成功率。因此,这是一个环境辅助物理操作的例子。

英文摘要:

We consider the open STIRAP problem by formulating it in terms of generalized Bloch equations. Expressed in this form the resulting Liouvillian matrix is analyzed in detail. As it turns out, most of the findings of open STIRAP models can be understood from the spectrum and eigenstates of the Liouvillian matrix. As a non-hermitian matrix we particularly discuss the mathematical structure of it by identifying among others the physical meaning of its eigenvectors and the system's exceptional points. We also discuss the importance of the Liouvillian gap which normally implies that any state becomes mixed. However, in certain situations, for example the STIRAP model under influence of spontaneous emission, a sort of pump term appears in the equations of motion, and its effect is to counteract the gap induced decay such that coherence may prevail. As the STIRAP driving is not perfectly adiabatic, we additionally find that for spontaneous emission the presence of a non-zero Liouvillian gap actually enhances the success rate of the process. This is thus an example of a environment assisted physical operation.

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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