Fig. 2: Coupling the vibrations of three cantilevers with the Casimir effect.
From: Observation and control of Casimir effects in a sphere-plate-sphere system
a Parametric modulation of the Casimir interaction is applied in our system. When ωmod1 = ω2 − ω1, cantilever 1 and cantilever 2 are coupled. Similarly, cantilever 2 and cantilever 3 are coupled when ωmod2 = ω2 − ω3. Here \({\omega }_{{{{{{{{\rm{mod}}}}}}}}1,2}\) is the modulation frequency. b Three eigenvalues of the Hamiltonian in Eq. (2) as a function of δ3 when δ2 = 0 and ∣g12∣ = ∣g23∣ = 2π × 20 Hz. Here δ2 = ω1 + ωmod1 − ω2 and δ3 = ω1 + ωmod1 − ωmod2 − ω3 are the detuning of the system. g12 and g23 are the coupling strengths between cantilever 1 and cantilever 2, and between cantilever 2 and cantilever 3, respectively. c Measured power spectrum density (PSD) of cantilever 3 as a function of the modulation frequency ωmod2. e PSD of cantilever 2 as a function of ωmod2. The modulation amplitudes are δd1 = 10.4 nm and δd2 = 14.1 nm. The modulation frequency ωmod1 is fixed at 440 Hz. d, f The simulated PSD for two cantilevers. The separations are d10 = 88 nm and d20 = 90 nm.
