Singular resonance in fluctuation-induced electromagnetic phenomena at the rotation of a nanoparticle near the surface of a condensed medium

It has been shown that the rotation of a spherical nanoparticle with the radius R near the surface of a semi-infinite homogeneous medium can result in singular resonance in fluctuation-induced electromagnetic phenomena (Casimir force, Casimir friction, and radiative heat generation). Fluctuation electromagnetic effects increase strongly near this resonance even in the presence of dissipation in the system. The resonance occurs at distances of the particle from the surface $ d <d_0= R(3/4\varepsilon_1''(\omega_1)\varepsilon_2''(\omega_2))^{1/3}$ (where $\varepsilon_i''(\omega_i)$ is the imaginary part of the dielectric function of the particle or the medium at the frequency of a surface phonon or plasmon polariton $\omega_i$), when the rotation frequency coincides with poles in the photon generation rate at $\Omega\approx \omega_1 + \omega_2$. These poles are due to the multiple scattering of electromagnetic waves between the particle and surface under conditions of the anomalous Doppler effect. These poles exist even in the presence of dissipation. At $d<d_0$, depending on the particle rotation frequency, the Casimir force can change sign; i.e., the attraction of the particle to the surface changes to repulsion. The results can be important for the development of experimental methods for the detection of quantum friction.