Simultaneous generation and transfer of mechanical noise squeezing

Optomechanical interactions between mechanical oscillators and an electromagnetic field induce controllable modifications in mechanical fluctuations. 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. However, such squeezing transfer has not yet been experimentally realized. Here, we show the transfer of mechanical noise squeezing between two mechanical modes mediated by a single microwave cavity mode. Noise squeezing in one mechanical mode (control) is achieved through parametric modulation of its resonance frequency via the optical spring effect. Simultaneously, an 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. The observed squeezing transfer manifests exhibits features both single-mode and two-mode squeezing, becoming a viable option for enhancing precision measurements. Mechanical noise squeezing across multiple modes is important for precision measurements. Here, the authors show the transfer of mechanical noise squeezing between two mechanical modes mediated by a single microwave cavity mode.