Frequency conversion between optical and microwave photons in non-Markovian environments

TL;DR

This paper introduces a scheme for efficient frequency conversion between optical and microwave photons in non-Markovian environments, achieving near 98.76% efficiency and enhanced bandwidth through environmental spectral control.

Contribution

It presents a novel frequency conversion scheme leveraging non-Markovian effects, surpassing Markovian limitations in efficiency and bandwidth for quantum communication.

Findings

Conversion efficiency reaches 98.76% in non-Markovian environments.

Transition from Markovian to non-Markovian regimes improves efficiency and bandwidth.

Large optical pump power increases bandwidth but reduces efficiency.

Abstract

In this paper, we propose a scheme for frequency conversion between optical photons and microwave photons in non-Markovian environments using both magnetic and mechanical excitations as intermediate media. When the frequencies of optical photons, magnons, phonons, and microwave photons resonance, the conversion efficiency can be made close to reach 98.76$\%$ by adjusting the defined complex cooperativities, while in the case of Markovian, the conversion efficiency is 90.44$\%$. By controlling the environmental spectral widths, the efficiency of frequency conversion exhibits a transition from Markovian regimes to non-Markovian regimes. This transformation simultaneously improves frequency conversion efficiency and conversion bandwidth, which is due to the excitation backflow generated by the interaction between the system and the non-Markovian environments. In the case, when the optical pump power in the non-Markovian regimes are of a large order of magnitude, the conversion bandwidth can be increased, but at the cost of reduced conversion efficiency. Our scheme improves the frequency conversion efficiency and bandwidth between optical photons and microwave photons, breaking the limitations of frequency conversion in Markovian environments and providing a new approach for long-distance quantum communication research of other non-Markovian quantum systems in quantum optics.