Thermal 1/ω fluctuations of a quantum oscillator under a parametric effect of a random field

It is shown that the effect of a time-correlated Gaussian random field of sufficiently high intensity on the elasticity coefficient of a quantum oscillator manifests itself in the generation of thermal fluctuations with a 1/ω spectrum in the oscillator. It is also shown that, in any physical system described by the equation of an anharmonic oscillator, fluctuations with a 1/ω spectrum arise at an above-critical temperature.