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arXiv 0903.5487physics.opticsphysics.class-ph
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色散介质中脉冲的保真度和保真度敏感度

Fidelity and Fidelity Susceptibility of Pulses in Dispersive Media

Li-Gang Wang, Shi-Jian Gu

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摘要：

受量子临界现象中保真度和保真度磁化率（FS）的重要性日益增长的启发，我们使用这些概念来描述色散介质中的脉冲传播。研究发现，在色散介质中，脉冲的保真度和FS在临界传输距离处会发生剧烈的变化，而这种剧烈的变化是否发生与介质的色散强度和脉冲的性质密切相关。本文详细研究了高斯光脉冲通过正常色散介质和非正常色散介质时的保真度和FS的变化。结果表明，保真度和FS都可以用来判断脉冲在临界距离处是否完全畸变，因此根据保真度和FS的变化，可以找到脉冲群速度的最大有效传播区域。

英文摘要：

Motivated by the growing importance of the fidelity and fidelity susceptibility (FS) in quantum critical phenomena, we use these concepts to describe the pulse propagation inside the dispersive media. It is found that there is a dramatic change in the fidelity and the FS of the pulse at a critical propagation distance inside a dispersive medium, and whether such a dramatic change for a light pulse occurs or not strongly depends on both the dispersive strength of the media and the pulse property. We study in detail about the changes of the fidelity and the FS for both a smooth and a truncated Gaussian pulse through the abnormal and normal dispersive media, where the group velocities are well defined. Our results show that both the fidelity and the FS could be very useful to determine whether the pulse is completely distorted or not at the critical distance, therefore it would be very helpful to find the maximal effective propagation region of the pulse's group velocity, in terms of the changes of the pulse's fidelity and FS.

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