Abstract

In the present work, we study the quantum vacuum fluctuations at finite temperature in the propagation of light in nonlinear optical media. We present nonlinear materials, that have the second-order electrical susceptibility tensor, and the fluctuating effective refractive index caused by fluctuating vacuum electric fields. Likewise, we study the fluctuations of the vacuum, which led to the contributions of thermal and mixed fluctuations being associated with a faithful test function to perform the calculations, in contrast to the Lorentzian distribution. We show the contribution of thermal and mixed fluctuations to time-of-flight fluctuations compared to the contributions of vacuum fluctuations. The result reveals a numerical estimate performed on cadmium selenide (CdSe) suggesting that the effects of fluctuations can cause uncertainty in time of flight due to quantum vacuum fluctuations in terms of thermal and mixed fluctuations.

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