Energy exchange between parametric modes in a nonlinear optical medium

G. S. Agarwal, J. Banerji

We study the quantum evolution of Kaplan's nonlinear eigenmode for the degenerate parametric oscillator. We calculate the energy exchange between the subharmonic and fundamental modes under conditions where the classical solution disallows any energy exchange between them. This energy exchange is strictly quantum in nature, i.e., it has no classical analog, and exhibits fractional revivals as well as large quantum fluctuations. We demonstrate how the quantum regime of nonlinear optical interactions can be studied in ion traps.

Alexander A. Zabolotskii

A. S. Usoltsev, L. V. Gerasimov, A. D. Manukhova +2 more

We present a microscopic analysis and evaluation of the dielectric susceptibility of a dielectric medium consisting of vector-type two-energy-level atoms responding on a weak probe mode when the atoms are driven by a strong coherent field. Each atom, in an environment of others, exists as a quasiparticle further structuring a bulk medium. In a limit of dilute atomic gas, the dynamics of each atom follows the Mollow-type nonlinear excitation regime, and the medium susceptibility collectivizes the individual atomic responses to the probe mode. We outline how the collective dynamics can be interpolated up to a dense medium, and we argue from general positions that in such a medium the optical nonlinearity and, in particular, its parametric part could be significantly magnified by manipulating both the coherent pump and the sample density. That indicates certain limitations for potential capabilities of quantum communication protocols utilizing the entangled photons, created by a parametric process, as a main resource of quantum correlations.

В. Н. Горбачев, Andrew I. Trubilko

A. E. Korolev, A. Koklushkin, Vladimir N. Nazarov +2 more

Energy exchange control of interacting guided coherent beams in a single-mode planar waveguide with nonlinear coating is analyzed. In the arrangement used the mixed degenerate beams create a real-time grating inside the nonlinear coating medium of the waveguide by evanescent waves transporting into the coating and this grating is responsible for energy exchange. Numerical estimations of energy exchange efficiency show adequate agreement between results for guided and volume geometry. In conclusion, process of two waves mixing in planar geometry with nonlinear coating of the waveguide may be controlled by additional optical beam of another wavelength in the similar way as for conventional volume scheme.

Jan Peřina