Dynamical generation of stable optical-microwave squeezing in structured reservoirs

TL;DR

This paper presents a theoretical framework for generating and maintaining stable optical-microwave two-mode squeezing in structured environments, highlighting the beneficial effects of non-Markovian noise and environmental spectral density matching.

Contribution

It introduces an effective Hamiltonian combining modulated driving fields and mechanical parametric amplification to analyze two-mode squeezing in structured environments.

Findings

Non-Markovian noise enhances squeezing levels.

Two-mode squeezing persists without external driving under non-Markovian conditions.

Matching environmental spectral densities further stabilizes the squeezed state.

Abstract

Two-mode squeezed states as paradigmatic entangled resources have broad applications in quantum information processing. Here, we study the generation of stable optical-microwave squeezing in structured environments within a hybrid electro-optomechanical system, where a mechanical oscillator is simultaneously coupled to an optical cavity mode and a microwave mode of an LC resonator. Specifically, an effective Hamiltonian that captures the optical-microwave squeezing interaction is constructed by combining strongly modulated driving fields applied to both photonic modes with a mechanical parametric amplifier. Based on this effective model, the dynamical evolution of two-mode squeezing in structured environments is analyzed. It is remarkably shown that the non-Markovian noise can substantially enhance the squeezing level in comparison to the Markovian case, and that two-mode squeezing can persist even in the absence of external driving fields under non-Markovian conditions, thereby mitigating the detrimental effects of anti-squeezing. Furthermore, the persistence of the two-mode squeezed state is enhanced when the environmental spectral densities of the microwave and optical modes are identical. Our work provides a theoretical framework for generating and persisting two-mode squeezing in structured environments.