Tunable two-phonon higher-order sideband amplification in a quadratically coupled optomechanical system.

Area of Science:

• Quantum Optics
• Optomechanics
• Nonlinear Optics

Background:

• Optomechanical systems couple light and mechanical motion.
• Higher-order sidebands are crucial for advanced optical applications.
• Controlling nonlinear effects in these systems remains a challenge.

Purpose of the Study:

• To propose an efficient scheme for controllable amplification of two-phonon higher-order sidebands.
• To investigate the influence of mechanical driving and control fields on sideband generation.
• To explore applications in chip-scale optical communications and frequency combs.

Main Methods:

• Utilizing a quadratically coupled optomechanical system.
• Employing a strong control field and a weak probe pulse.
• Applying a resonant mechanical pump to the system's membrane.
• Extending the Heisenberg-Langevin formalism with nonlinear coefficients.

Main Results:

• Derived analytical expressions for probe pulse transmission and second-order sideband amplitude.
• Identified conditions for enhancing two-phonon higher-order sideband generation using mechanical pump and control field detuning.
• Demonstrated sensitive dependence of sideband generation on mechanical pump phase with strong control fields.

Conclusions:

• The proposed scheme enables controllable amplification of two-phonon higher-order sidebands.
• Experimental parameters can be tuned to optimize sideband generation.
• The findings offer practical opportunities for developing chip-scale optical devices.