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Acta Physica Sinica

AMPLITUDE N-POWER SQUEEZING IN A TWO-PHOTON ABSORPTION MEDIUM

JIANG HAI-HE, Lin-sheng He, 中国科学院安徽光学精密机械研究所,合肥230031

Published Jan 1, 1993• 0 citations
Publisher

Abstract

From the equation for the matrix elements of the field density in the two-photon process, with the aid of the generation function method, the exact analytical expressions of the amplitude N-power squeezing generating in two-photon absorption process are derived. The variation of the amplitude N-power squeezing with the diemensionless time τ, power exponent N, the phase θ and the average number of photons of the incident field are discussed. It have been shown that the amplitude N-power squeezing for different power exponents N is independent of each other, the two-photon absorption process is one of effective ways to generate the amplitude N-power squeezing.

DOI
10.7498/aps.42.1223

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From the equation for the matrix elements of the field density in the two-photon process, with the aid of the generation function method, the exact analytical expressions of the amplitude N-power squeezing generating in two-photon absorption process are derived. The variation of the amplitude N-power squeezing with the diemensionless time τ, power exponent N, the phase θ and the average number of photons of the incident field are discussed. It have been shown that the amplitude N-power squeezing for different power exponents N is independent of each other, the two-photon absorption process is one of effective ways to generate the amplitude N-power squeezing.
From the master equation of the field density for the two-photon process, with the help of the generation function method, the expressions of the squeezing of the square of the field amplitude generated in two-photon absorption process are derived. The variations of the square of the field amplitude with the dimensionless time τ, the phase θ and the average number of photons of the incident field are discussed. It is shown that the two-photon absorption process is an effective way generating the squeezing effect of the square amplitude of the field. Finally, the independence of the amplitude-squared squeezing effect is demonstrated.
The exact analytic expressions for the photon statistics distribution, the squeezing degree S and the second order degree of coherence g(2) of light field are obtained by using the master equation for the density operator of light field and applying the generation-function method. The evolution of these quantities with the scale-time τ are discussed. It is shown that the squeezing degree S, which is gradually reduced in two-photon absorption process, may still exhibit the squeezing feature. Moreover, the process is favorable to the existence and the enhancement of photon antibunching effect and photon sub-poissonian statistics feature, but the oscillatory characteristics of photon statistics distribution disappear rapidly after having been preserved in a short time.
We investigate theoretically the generation of squeezed states in spontaneous and stimulated five-wave mixing process. It has been found that squeezing occurs in field amplitude, amplitude-squared, amplitude-cubed and fourth-order amplitude states of the fundamental mode in the process. It is found to be dependent on coupling parameter g and phase values of the field amplitude of the fundamental mode. The process involves the absorption of two pump photons each having frequency ω1, emission of two probe photons of same frequency ω2 and a signal photon of frequency ω3. It is shown that squeezing is greater in a stimulated interaction than the corresponding squeezing in the spontaneous process. It is found that the degree of squeezing depends on the photon number in the first and higher orders. We study the statistical behaviour of quantum field in the fundamental mode. It has been found that the field shows sub-Poissonian behavior in this mode.
Squeezing of the electromagnetic field is a purely quantum mechanical phenomenon and this quantum effect is expected to manifest itself in optical processes in which the nonlinear response of the system to the radiation field plays an important role. It has generated a great deal of interest in view of the possibility of reducing the noise of an optical signal below the vacuum limit i.e. zero-point oscillations. In this paper the concept of nth-order amplitude squeezing is introduced in the fundamental mode in four- and six-wave mixing processes as a generalization of the higher-order squeezing under short-time approximation based on a fully quantum mechanical approach. It established the coupled Heisenberg equations of motion involving real and imaginary parts of the quadrature operators. The condition for occurrence of nth-order squeezing is obtained from which higher-order squeezing upto n=3 are studied. Dependence of squeezing on photon number is also established. The conditions for obtaining maximum and minimum squeezing are obtained. The method of present investigation can be applied to any higher-order non-linear optical processes and the technique can also be extended for studying squeezing in any N-photon process in general. Further, nth-order squeezing of radiation in N-photon process can also be investigated. The results obtained may help in selecting a suitable process to generate optimum squeezing in the radiation field.