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本文提出了一个利用光子回声技术探究非均匀展宽频谱线形(如高斯、洛伦兹分布)对存储效率影响的简捷方法。我们发现当信号光脉冲的持续时间与介质频谱线宽的乘积远大于1时,可将分布函数的傅里叶变换近似成狄拉克函数,使得研究非均匀展宽频谱对存储效率的影响变得非常容易;通过计算发现不同线形分布达到最佳存储效率的光学深度有所不同,频谱线形趋于均匀时达到最优存储效率的存储介质光学深度最小。该研究对实验上实现最优化光量子态存储具有指导意义。
In this paper, we propose a simple and convenient method to explore the effect of nonuniform broadening spectral line (such as Gaussian and Lorentzian distribution) on the storage efficiency by using photon echo technique. We find that the Fourier transform of the distribution function approximates the Dirac function when the product of the duration of the signal light pulse and the linewidth of the spectrum of the medium is much larger than 1 so that the effect on the storage efficiency from studying the nonuniformly broadened spectrum becomes very significant It is easy to find out that the optical depth of different linear distributions to achieve the best storage efficiency is different, and the optical depth of the storage medium which achieves the optimal storage efficiency when the spectral line tends to be uniform is the minimum. This research is of guiding significance for the experimental optimization of optical quantum state storage.