Influence of the Kerr nonlinearity in a single nonstationary cavity mode

Abstract

We study the dynamical Casimir effect in an electromagnetic cavity containing a Kerr medium. We obtain approximate expressions for the time evolution operator as well as for the number operator in the Heisenberg representation. We have found that the generation of photons from quantum vacuum is strongly affected by the presence of the Kerr medium, sharing physical features with the case of two two-level atoms in a cavity with oscillating walls. The nonlinear medium produces a saturation effect in the photon generation which shows strong oscillations whose frequency increases with the intensity of the nonlinear medium. We expect that these results could be relevant for any experimental study involving the dynamical Casimir effect that is willing to incorporate Kerr nonlinearities.

Dynamical Casimir effect in stochastic systems: Photon harvesting through noise

“…Finally, we would like to point out that DCE modifications due to Kerr nonlinearities, recently predicted in Ref. [9], could also be tested in our proposed photonic system by changing the linear refractive index profile to a quadratic one.…”

Fifty Years of the Dynamical Casimir Effect

“…The maximal number of quanta that could be generated under realistic conditions is limited due to many factors. One such factor is related to unavoidable nonlinearities in real systems [303][304][305][306]. Another mechanism, related to the temporal coherence, was studied in [307].…”

Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations

“…Besides, they have close formal similarities with general superpotentials leading to isospectral potentials in supersymmetric quantum mechanics [63][64][65][66][67][68][69]. Recent applications include propagation of optical beams in parabolic media [171][172][173] and Kerr media [174][175][176][177] as well, studies of the geometry of the Riccati equation [178] and the fourth-order Schrödinger equation with the energy spectrum of the Pöschl-Teller system [179]. Further discussion on the subject can be found in the Schuch's book on a nonlinear perspective to quantum theory [180].…”