Transparency and amplification in a hybrid system of mechanical resonator and circuit QED

TL;DR

This paper theoretically investigates how hybrid systems combining mechanical resonators with circuit QED or optomechanical setups can achieve transparency and amplification of weak probe fields, with controllable nonclassical output properties.

Contribution

It introduces a theoretical framework for controlling probe field transparency and amplification in hybrid quantum systems involving superconducting circuits and mechanical resonators.

Findings

Both mechanical resonators and superconducting qubits enable transparency under strong driving.

Weak probe fields can be amplified in certain parameter regimes.

Output field nonclassicality depends on system parameters.

Abstract

We theoretically study the transparency and amplification of a weak probe field applied to the cavity in hy- brid systems formed by a driven superconducting circuit QED system and a mechanical resonator, or a driven optomechanical system and a superconducting qubit. We find that both the mechanical resonator and the su- perconducting qubit can result in the transparency to a weak probe field in such hybrid systems when a strong driving field is applied to the cavity. We also find that the weak probe field can be amplified in some parameter regimes. We further study the statistical properties of the output field via the degrees of second-order coherence. We find that the nonclassicality of the output field strongly depends on the system parameters. Our studies show that one can control single-photon transmission in the optomechanical system via a tunable artificial atom or in the circuit QED system via a mechanical resonator.