Preparation of entangled states of microwave photons in a hybrid system via electro-optic effect

TL;DR

This paper proposes methods to generate entangled microwave photon states in a hybrid electro-optic system using coherent control and reservoir engineering, highlighting the role of coupling ratios in entanglement quality.

Contribution

It introduces multiple schemes, including cascaded, parallel, and dissipative approaches, for creating microwave photon entanglement in a hybrid electro-optic setup, emphasizing the importance of coupling ratios.

Findings

Entanglement depends on the ratio of coupling strengths, not their absolute amplitudes.

Multiple schemes successfully generate microwave entanglement.

Reservoir engineering leverages optical dissipation as a resource.

Abstract

We propose to realize the two-mode continuous-variable entanglement of microwave photons in an electro-optic system, consisting of two superconducting microwave resonators and one or two optical cavities filled with certain electro-optic medium. The cascaded and parallel schemes realize such entanglement via coherent control on the dynamics of the system, while the dissipative dynamical scheme utilizes the reservoir-engineering approach and exploits the optical dissipation as a useful resource. We show that, for all the schemes, the amount of entanglement is determined by the ratio of the effective coupling strengths of "beam-splitter" and "two-mode squeezing" interactions, rather than their amplitudes.