Fig. 4: Normal mode splitting versus particle position y0.
From: Strong optomechanical coupling at room temperature by coherent scattering

a Experiment and b theory according to Eq. (9). Particle position power spectral density PSD(Ω) at the optimal Δ = − 2π × 193 kHz ≈ −Ωm along y0 is shown. The hybridised modes split by 2gy. The white dashed line displays Ω±/Ωm = 1 ± gy/Ωm where gy follows Eq. (3). The mechanical mode at Ω/Ωm ≈ 0.89 corresponds to the mechanical x−mode. The data and fit show very good agreement. c ∣gy∣ at Δ ≈ −Ωm versus y0. Maximum and minimum coupling are separated by δy0 = λc/4 as expected by Eq. (3). Black dashed line fits to the absolute value of Eq. (3) with a maximum \({g}_{{{y}}}^{\max }\approx -2.3\kappa\) and the grey shaded area corresponds to 3σstd of the fit. The dotted lines indicate the positions used in Fig. 2.