When neglecting and considering the interaction between atoms,the quadrature squeezing and the photon-number squeezing of Bose-Einstein Condensate of V-type three level atoms interacting with two-mode squeezed light field are studied.The results show that the quadrature squeezing dependent on squeezing parameter and the photon-number squeezing is closely correlated to squeezing parameter and light field intensity.It is found that the two kinds of squeezing can be obtained at some conditions.and the interaction between atoms in BEC changes the period of fluctuation of light field and the amplitude of fluctuation of quadrature component.However,such atom-atom interaction does not affect the amplitude of fluctuation of photon-number squeezing.
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.
The photon statistical evolution in the process of two coupling two-level atoms interacting with the squeezed coherent state light field is investigated by means of the interacting picture and the quantum theory. Meanwhile, the influence of the squeezed light field factor γ, the coherent vibration amplitude |α|2 of the field-atom, the coupling constant g of two atoms and the coupling constant λ of atom-field on the mean photon number n(t) of stimulated field are also discussed. The relations of them are revealed.