Casimir Light in Dispersive Nanophotonics

Time-varying optical media, whose dielectric properties are actively modulated in time, introduce a host of novel effects the classical propagation light, and intense current interest. In quantum domain, time-dependent media can be used to convert vacuum fluctuations (virtual photons) into pairs real photons. We refer these processes broadly as ``dynamical effects'' (DVEs). Despite interest for their potential applications sources DVEs generally very weak, providing many opportunities enhancement through modern techniques nanophotonics, such using which support excitations plasmon phonon polaritons. Here, we present theory arbitrary nanostructured, dispersive, dissipative systems. A key element our framework is simultaneous incorporation time-modulation ``dispersion'' time-translation-breaking linear response theory. propose highly efficient scheme generating entangled surface polaritons based on frequency polar insulator. show that high density states, especially hyperbolic polaritonic may enable high-efficiency generation phonon-polariton pairs. More broadly, theoretical enables study light-matter interactions time-varying spontaneous emission, energy level shifts.