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Acta Physica Sinica

EVOLUTION OF SQUEEZED STATE FIELD IN A TWO-PHOTON ABSORPTION MEDIUM

Lin-sheng He, Haihe Jiang, Shangqing Liu, Xia Yu-xing, 中国科学院安徽光学精密机械研究所,合肥,230031

Published Jan 1, 1991• 0 citations
Publisher

Abstract

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.

DOI
10.7498/aps.40.718

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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.
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.
In this paper, we investigate the distribution statistics of photons in a single mode radiation field subjected to two-photon absorption (TPA) and the factors that contribute to squeezing and antibunching of photons, leading to the generation of nonclassical light. TPA is a nonlinear optical phenomenon in which the atoms interact with the light field by absorbing two photons simultaneously. The motivation to study TPA is the recent intense activity on nanocrystallites/quantum dots. Further, it is the only nonlinear optical phenomenon that can be analytically studied. The simultaneous occurrence of squeezing and antibunching is studied with small initial photon numbers by solving the master equation for TPA of a single mode radiation directly by numerical integration, without going through analytical procedure. The results are compared with those of analytical/numerical procedures available. Further, the discussion on the parameters of squeezing and antibunching for short-time (ST) as well as long-time is done comprehensively in the present work by taking up the ST approximation and summation of ST (SST) procedure along with the exact numerical method.
The statistic properties of photons in the system of two-mode squeezing vacuum field interacting with two coupling atoms in Kerr medium are studied by means of quantum theory.The influences of coupling constant χ, initial squeezed parameter r and the atomic initial state are discussed. The results obtained by means of numerical method show that the photon bunching and anti-bunching appear alternately, and the correlation of the two modes of light is both positive and non-classical. The periodical collapse-revival phenomenon of the time evolution of the second-order coherence degree of the two-mode field appears due to the influence of the Kerr effect. The periods of the collapse-revival become short up to disappearance with increasing Kerr effect.
Multiphoton interaction of single-mode squeezed-state light and a two-level atom is considered based on the K-photon Jaynes–Cummings model. Time evolution of quantum fluctuation and photon statistical properties of the initial squeezing light are discussed. It is found that through interaction with a two-level atom, larger squeezing levels cannot be achieved in one-photon or multiphoton processes. For photon antibunching behavior of the light field, it is shown that a smaller initial squeezing level and an appropriately larger coherent part of the initial average photon number of the radiation field favor the generation of this nonclassical behavior, especially in the lower-order interaction processes.