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arXiv 1709.01740quant-ph
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Fano absorption spectrum复谱分析的新视角

A new perspective on the Fano absorption spectrum in terms of complex spectral analysis

Taku Fukuta, Savannah Garmon, Kazuki Kanki, Ken-ichi Noba, Satoshi Tanaka

摘要:

从复谱分析的角度提出了一种新的理解法诺吸收谱的方法。研究了半无限超晶格中杂质的吸收光谱。连续介质上的边界条件导致了自能的能量依赖性,增强了有效哈密顿量本征值问题的非线性,产生了几个非解析的共振态态.通过直接跃迁到这些离散的共振态,完全再现了整个光谱特征。即使有一个单一的光学过渡路径的光谱表现出不对称的法诺轮廓,这是增强的过渡到非解析共振态状态。由于这是总哈密顿量的真正本征态,因此在吸收光谱的解释中没有歧义,避免了基于量子干涉的任意解释。当我们提取共振态分量时,可以很好地理解例外点周围的光谱变化。

英文摘要:

A new aspect of understanding a Fano absorption spectrum is presented in terms of the complex spectral analysis. The absorption spectrum of an impurity embedded in semi-infinite superlattice is investigated. The boundary condition on the continuum causes a large energy dependence of the self-energy, enhances the nonlinearity of the eigenvalue problem of the effective Hamiltonian, yielding several nonanalytic resonance states. The overall spectral features is perfectly reproduced by the direct transitions to these discrete resonance states. Even with a single optical transition path the spectrum exhibits an asymmetric Fano profile, which is enhanced for the transition to the nonanalytic resonance states. Since this is the genuine eigenstates of the total Hamiltonian, there is no ambiguity in the interpretation of the absorption spectrum, avoiding the arbitrary interpretation based on the quantum interference. The spectral change around the exceptional point is well understood when we extract the resonant state component.

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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