Transparency, Stokes, and Anti‐Stokes Processes in a Multimode Quadratic Coupling System with Parametric Amplifier

Abstract

A study on optomechanically induced transparency (OMIT) and the output power at the Stokes (anti‐Stokes) frequency in a hybrid optomechanical system is presented. The system consists of a Fabry–Pérot cavity, two non‐absorbing membranes, and a degenerate optical parametric amplifier (OPA), where the coupling interaction between the cavity and each membrane is quadratic. This study shows that spacing between two transparency window dips in a wider detuning range and the higher transparency efficiency can be achieved by selecting the suitable strength of the quadratic coupling. In addition, it is also found that frequencies of the two mechanical membranes, the nonlinear gain of the OPA, and phase of the field driving OPA can exert a striking influence on the output power at the Stokes (anti‐Stokes) frequency. Specifically, with the increase of the nonlinear parameter of OPA, spacing between two dips on the normalized output power at the Stokes frequency becomes much wider for two membranes with the same frequency. Three peaks on the normalized output power at the anti‐Stokes frequency appear in a larger detuning. In quantum engineering, this scheme may have potential applications in enhancing the performance of OMIT devices.

Bidirectional Optical Non‐Reciprocity in a Multi‐Mode Cavity Optomechanical System

“…We use Equation ( 2) to obtain the equation of motion for every operator variable and explore the dynamics of the system. By substituting Equation (1) into Equation ( 2) and introducing the factorization theorem, that is, ⟨ab⟩ = ⟨a⟩⟨b⟩, [41,43] the noise terms vanish since their average values lower to zero and we obtain the following mean-value equations.…”

Simultaneous cooling of double oscillators in an optomechanical system with an optical parametric amplifier

“…Recently, multimode optomechanical system involving two or more mechanical oscillators has attracted a lot of attention due to its outstanding role in simulating complicated quantum system and exploring rich physical features, such as synchronization [36][37][38], quantum entanglement [39][40][41], energy transfer [42,43], and collective dynamics [44], etc. A key step to observe these quantum effects in a multi-mode optomechanical system is to simultaneously cool the multiple mechanical modes [5,[45][46][47][48][49]. On the other hand, the second-order nonlinearity of OPA has considerable applications in quantum optics.…”