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arXiv · 2512.16657

Non-markovian reservoir profile effects on dynamics of light within a single waveguide

J. R. Silva·C. Antunis B. S. Santos
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Abstract

In this work, we investigate how different reservoir memory profiles influence the dynamical evolution of a single waveguide coupled to an external environment. We compare three representative memory kernels: Lorentzian, Gaussian and Uniform, highlighting their distinct spatial correlations and their impact on system behavior. We compute the transmission amplitude, transparency properties, as well as long-time behavior of the system under each memory model. To quantify deviations from Markovian dynamics, we employ a non-Markovianity measure based on information backflow, allowing a direct comparison between the structured reservoirs and the Markovian limit. Our results reveal clear signatures of memoryless-induced modifications in the transmission spectrum and demonstrate how specific reservoir profiles enhance or suppress non-Markovian effects.

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J. R. Silva, C. Antunis B. S. Santos. 2025-12-18. Non-markovian reservoir profile effects on dynamics of light within a single waveguide. https://arxiv.org/abs/2512.16657

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