Macroscopic QED and noise currents in time-varying media

• URL: http://arxiv.org/abs/2409.11873v2
• Date: Thu, 26 Sep 2024 11:07:30 GMT
• Title: Macroscopic QED and noise currents in time-varying media
• Authors: S. A. R. Horsley, R. K. Baker,
• Abstract summary: We find that the expected replacement $epsilon(omega) to epsilon(t,omega)$ within standard MQED leads to nonphysical polarization currents. We show this singular behaviour can be removed through modifying the reservoir dynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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 reservoir 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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