Mimicking a hybrid-optomechanical system using an intrinsic quadratic coupling in conventional optomechanical system

ABSTRACT

We consider an optical and mechanical mode interacting through both linear and quadratic dispersive couplings in a general cavity-optomechanical set-up. The parity and strength of an intrinsic quadratic optomechanical coupling (QOC) provides an opportunity to control the optomechanical (OM) interaction. We quantify this interaction by studying normal-mode splitting (NMS) as a function of the QOC's strength. The proposed scheme exhibits NMS features equivalent to a hybrid-OM system containing either an optical parametric amplifier or a Kerr medium. Such a system in reality could offer an alternative platform for devising state-of-art quantum devices with requiring no extra degrees-of-freedom as in hybrid-OM systems.

KEYWORDS:

• Cavity-optomechanics
• resolved side-band regime
• quadratic optomechanical coupling
• normal-mode splitting

Acknowledgments

M.A.K would like to thank the computing facilities provided by NIT, Andhra Pradesh. The authors would also like to thank Kavya Hemantha Rao for her contributions with the presentation of the figures.

Disclosure statement

No potential conflict of interest was reported by the authors.

Notes

1 Note that Equation (2(2) $\dot{\mathbf{O}}=\frac{i}{\hslash }[\mathbf{H},\mathbf{O}]+\zeta \left(t\right),$(2) ) is expressed in dimensionless quantities. $\mathcal{K}$ is deduced by converting dimensionless $\mathbf{x}\mathbf{,}\mathbf{p}$ to $\hat{\mathbf{x}},\hat{\mathbf{p}}$ with dimensions, using $\mathbf{x}=\hat{\mathbf{x}}\sqrt{m{\omega }_m/\hslash }$ and$\mathbf{p}=\hat{\mathbf{p}}\sqrt{1/m{\omega }_m\hslash }$.

Additional information

Funding

U.S.S. is supported by Griffith University Postgraduate Research Scholarship (GUPRS) and Griffith University International Postgraduate Research Scholarship (GUIPRS).