Simultaneous generation and transfer of mechanical noise squeezing

Abstract: Optomechanical interactions between mechanical oscillators and an electromagnetic field induce controllable modifications in mechanical fluctuation. When multiple mechanical oscillators are coupled to a single electromagnetic mode, these interactions can be extended to utilize the electromagnetic mode as a mediator for distributing noise squeezing among different mechanical oscillators. We investigate the transfer of mechanical noise squeezing between two mechanical modes, enabled by a single microwave cavity mode which is strongly coupled to both mechanical modes. Noise squeezing in one mechanical mode (control) is achieved through parametric modulation of its resonance frequency via the optical spring effect. Simultaneously, optomechanical beam-splitter interaction is applied between the mechanical modes to transfer noise squeezing from the control mode to the other mode (target). Strong correlations between the quadratures of the two mechanical modes confirm that the observed squeezing in the target mode originates from the squeezing in the control mode. Remarkably, the observed squeezing transfer manifests noise characteristics of both single-mode and two-mode squeezing. This unique feature suggests that the squeezing transfer holds significant potential for enhancing precision measurements.