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Proceedings of the Estonian Academy of Sciences Physics Mathematics

QUANTUM EMISSION CAUSED BY OPTICAL NUTATION

Vladimir Hizhnyakov, N Ivanova

Published Feb 14, 1995• 0 citations
Publisher

Abstract

Quantum emission of a dielectric plate, caused by optical nutation under resonance pulse excitation is considered.The emission appears due to periodic time dependence of the refractive index and is connected with the transformation of the initial destruction operators of photons to a linear combination of the final destruction and the creation operators.The spectrum of the emission is described by a narrow Gaussian at £2/2, where f} is the Rabi frequency.The process considered allows one to achieve remarkable conversion of the visible radiation to the infrared one.

DOI
10.3176/phys.math.1995.2/3.26

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Quantum emission of a dielectric plate, caused by optical nutation under resonance pulse excitation is considered.The emission appears due to periodic time dependence of the refractive index and is connected with the transformation of the initial destruction operators of photons to a linear combination of the final destruction and the creation operators.The spectrum of the emission is described by a narrow Gaussian at £2/2, where f} is the Rabi frequency.The process considered allows one to achieve remarkable conversion of the visible radiation to the infrared one.
We consider the two-photon emission by a dielectric where refractive index n oscillates in time. The oscillations of n cause analogous oscillations of the optical length. The velocity of the latter oscillations, in principle, may be arbitrarily large. If the maximal velocity of these oscillations V is much less than the light velocity c then the intensity of the emission will increase with V . However, if it strongly exceeds c then the opposite dependence takes place as the zero-point fluctuations cannot appreciably react on such a fast oscillations. Therefore, the crossover for the dependence of the emission on V exists at V r ∼ c and a resonant enhancement of it is observed at this value of V . Our calculation gives V r ≈ 3 c .
Optical nutation in the exciton range of spectrum is studied in the mean field approximation taking into account exciton-photon and elastic exciton-exciton interactions. It is shown that the features of nutation development are determined by the initial exciton and photon densities, the resonance detuning, the nonlinearity parameter, and the initial phase difference. For nonzero initial exciton and photon concentrations, three regimes of temporal evolution of excitons and photons exist: periodic conversion of excitons to photons and vice versa, aperiodic conversion of photons to excitons, and the rest regime. In the rest regime, the initial exciton and photon densities are nonzero and do not change with time. The oscillation amplitudes and periods of particle densities determined by the system parameters are found. The exciton self-trapping and photon trapping appearing in the system at threshold values of the nonlinearity parameter were predicted. As this parameter increases, the oscillation amplitudes of the exciton and photon densities sharply change at the critical value of the nonlinearity parameter. These two phenomena are shown to be caused by the elastic exciton-exciton interaction, resulting in the dynamic concentration shift of the exciton level.
A two-photon emission of a medium with periodically time-dependent refractive index is considered. The emission results from the zero-point fluctuations of the medium. Usually this emission is very weak. However, it can be strongly enhanced if the resonant condition ω0ω_0ω0​ = 2.94 c/l0c/l_0c/l0​ is fulfilled (here ω0ω_0ω0​ and $l_0 $ are the frequency and the amplitude of the oscillations of the optical length of the medium, respectively). Besides, a medium with resonant oscillations of the optical length performs the phase conjugated reflection with high efficiency. A similar resonant enhancement of the two-quantum emission of other bosons is also predicted.