Strong mechanical squeezing in an optomechanical system based on Lyapunov control
Biao Xiong, Xun Li, Shi‐Lei Chao, Zhen Yang, Wen-Zhao Zhang, Weiping Zhang, Ling Zhou
Abstract
We propose a scheme to generate strong squeezing of a mechanical oscillator in an optomechanical system through Lyapunov control. Frequency modulation of the mechanical oscillator is designed via Lyapunov control. We show that the momentum variance of the mechanical oscillator decreases with time evolution in a weak coupling case. As a result, strong mechanical squeezing is realized quickly (beyond 3 dB). In addition, the proposal is immune to cavity decay. Moreover, we show that the obtained squeezing can be detected via an ancillary cavity mode with homodyne detection.
Topics & Concepts
Homodyne detectionLyapunov functionPhysicsOptomechanicsMechanical systemControl theory (sociology)Lyapunov exponentCoupling (piping)Modulation (music)Momentum (technical analysis)Quantum mechanicsClassical mechanicsOpticsControl (management)Nonlinear systemComputer scienceAcousticsQuantumEngineeringEconomicsMechanical engineeringArtificial intelligenceFinanceMechanical and Optical ResonatorsAdvanced MEMS and NEMS TechnologiesForce Microscopy Techniques and Applications