Macroscopic QED and noise currents in time-varying media

S. A. R. Horsley, B. Baker
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Abstract

Macroscopic QED (MQED) is the field theory for computing quantum electromagnetic effects in dispersive media. Here we extend MQD to treat time-varying, dispersive media. For a time dependent Drude model, we find that the expected replacement ${\epsilon}({\omega}) {\to} {\epsilon}(t,{\omega})$ within standard MQED leads to nonphysical polarization currents, becoming singular in the limit of a step change in the carrier density. We show this singular behaviour can be removed through modifying the reservaoir dynamics, quantizing the resulting theory and finding the non-equilibrium, time-varying noise currents, which exhibit extra correlations due to temporal reflections within the material dynamics.
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时变介质中的宏观 QED 和噪声电流
宏观 QED(MQED)是计算色散介质中量子电磁效应的场论。在这里,我们将 MQED 扩展到处理时间变化的色散介质。对于随时间变化的德鲁德模型,我们发现标准 MQED 中的预期置换 ${/epsilon}({\omega}) {\to} {\epsilon}(t,{\omega})$ 会导致非物理极化电流,在载流子密度发生阶跃变化的情况下会变成星形。我们展示了这种奇异行为可以通过修改贮备动力学来消除,量化由此产生的理论并找到非平衡的时变噪声电流,它由于材料动力学中的时间反射而表现出额外的相关性。
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