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

TL;DR

This paper explores how different non-Markovian reservoir profiles, such as Lorentzian, Gaussian, and Uniform, influence light dynamics in a waveguide, revealing how reservoir memory affects transmission and non-Markovian behavior.

Contribution

It introduces a comparative analysis of three reservoir memory profiles and their impact on waveguide light dynamics, highlighting the role of reservoir structure in non-Markovian effects.

Findings

Reservoir profile significantly alters transmission properties.

Memory effects can enhance or suppress non-Markovian signatures.

Distinct reservoir types lead to different long-time system behaviors.

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.