The quantum properties and amplitude-squared squeezing effects of light field are studied in the system of two-mode SU(1,1) coherent states interacting with Bose-Einstein Condensate of V-type three-level atoms,and the squeezing properties of atomic laser have also been discussed.The results show that the quantum correlation properties of light field keep invariant in the process of interaction between light field and atomic BEC,and the photons of each mode produce antibunching effect.The correlation between the two modes shows the non-classical correlation in the process of interaction.There are amplitude-squared squeezing effects in these quantum states.The influence of field parameter and atom parameter on the depth and duration of squeezing are investigated.The two-mode atomic laser can be squeezed,but it is difficult to squeeze.The degree of squeezing is determined by initial light field.
The Hamiltonian operator of a system of V-type three-level atomic Bose-Einstein condensation interacting with two-mode squeezed coherent light field is analyzed in terms of the lattice-liquid model. It is indicated that the contribution of the interaction between atoms to the Hamiltonian in the literature is irrational,so the Hamiltonian operator is improved and the squeezing properties of atomic laser coupled output from the system of V-type three-level atomic Bose-Einstein condensation interacting with two-mode squeezed coherent light field are studied. The results show that the interaction intensity of light-atoms in the Bose-Eimtein condenation has evident influence on the fluctuations of two quadrature components of the atomic laser.
The squeezing properties of the two-mode atom laser in a system of Ξ-type three-level atomic Bose-Einstein condensate interacting with single-mode squeezed coherent light field are studied. The results show that the two-mode atom laser can be squeezed periodically, and has two types of oscillations: quantum Rabi oscillation and collapse-revival oscillation. The maximum depth of squeezing and the collapse-revival frequency of the atom laser depend greatly on the interaction intensity between the light field and atoms, and the quantum Rabi frequency is largely determined by the frequency of the light field.