Optomechanically induced transparency, absorption, and conversion between slow and fast light in a generalized cross-Kerr optomechanical circuit

TL;DR

This paper proposes a hybrid microwave-optomechanical circuit with nonlinear couplings that enable tunable optomechanically induced transparency and absorption, as well as control over slow and fast light phenomena.

Contribution

It introduces a novel scheme with higher-order cross-Kerr couplings in a hybrid circuit, revealing their impact on light propagation and amplification effects.

Findings

Nonlinear couplings significantly modify OMIT and OMIA characteristics.

The system can achieve tunable switching between slow and fast light.

Gain and amplification are possible in specific frequency regions.

Abstract

In this paper, we propose and explore an experimentally viable scheme to realize tunable optomechanically induced transparency (OMIT) and optomechanically induced absorption (OMIA) phenomena in a hybrid microwave-optomechanical circuit in which two single-Cooper-pair transistors (SCPTs) are coupled to a common microwave $LC$ resonator and two independent micromechanical resonators. We show that under special conditions such a system can be equivalently modeled as a two-mechanical-modes optomechanical cavity in which, besides the standard radiation-pressure coupling, the cavity mode interacts with the mechanical modes through the cross-Kerr (CK), a higher-order generalized CK, and a three-mode CK type of coupling. Furthermore, there is an induced CK coupling between the two-mechanical modes. Assuming that the cavity mode is simultaneously driven by a strong control field and a weak probe field, we analyze the response of the output probe field affected by the above-mentioned nonlinear couplings. In particular, our results reveal that the higher-order nonlinear CK and the three-mode CK couplings have remarkable impact on the characteristics of the OMIT and OMIA phenomena. Moreover, we find that these nonlinear couplings can give rise to the occurrence of the gain in the absorption profile and contribute to the amplification of the output probe field in specific frequency regions. We also show that the system offers tunable switching between slow and fast light behaviors. The proposed hybrid optomechanical circuit may find potential applications in light propagation, quantum sensing of physical quantities, and information processing.