Quantum Dynamics Of A Single Mode Field Interacting With Two Coupling Atoms

In this paper, the quantum dynamics properties of a single-mode field interacting with two coupling atoms are studied by means of the quantum theory. First, the photon statistical properties of the system of squeezed coherent-state field interacting with two coupling atoms are investigated. And the influence of the coherent vibration amplitude | α |2 of the field, squeezed parameter γof the field, coupling coefficient λ of atom and field, the coupling coefficient g between atoms which is constant or changing with time on the mean photon number of the system is also discussed respectively. It has been shown that | α |2 and y influence the collapse-revival periodicity of the evolution curves of (n(t)> and the frequency of the Rabi oscillation directly. The value of λ, decides the evolution rule of (n(t)>, appears oscillation phenomenon. The coupling between atoms will weaken the interaction of atom-field. When g is constant, the increase of g destroys the collapse-revival periodicity of the curves and the mean value of the curves descends. While the coupling coefficient between atoms changes with time, which is g(f) and g(t) -V. Sin w . t), and V is constant, and CD is the change frequency of the coupling coefficient, the change of a causes that g(t) modulates the evolution curves of (n(t)> periodically. The modulated curves appear many kinds of figures. It is obviously different from the influence of the constant g on the evolution curves of And the Ken-medium μ can weaken the interaction of the atom and the field. When μ increases to a certain value, Rabi oscillation vanishes almost completely.Secondly, the phase properties of squeezed coherent-state field interacting with two coupling atoms are studied. Meanwhile, the influence of |α|2,$, g, and μ on the phase properties is also discussed. The results show that the phase probability distribution presents three-peak Gaussian configuration. The maximum of the phase probability distribution lies at the point of the zero phase and the phase fluctuation is small, while at other place, the value of the phase probability distribution is relatively small and vibrates easily. The phase probability distribution centralizes more and more with the increase of | α |2. And the increase of g destroys the symmetry of the phase probability distribution. At the same time, because of the influence of light squeezing effect, the phase probability distribution has different phenomena from that of coherent-state field. The phase probability distribution has a thin skin with μ. The phase diffuses because of the effect of μ.Finally, the squeezing effect of the light produced by the Raman interaction of single-mode thermal radiation field with two coupling atoms is studied. And the influence of μ, g, the intensity n of the initial field and the initial state ( θ,φ) of atoms on the squeezing effect of the light is also discussed. The results show that the light squeezing has a thin skin with μ in the course of the interaction of the single-mode thermal radiation field with the two coupling atoms. μ destroys the non-sutra properties of the field and reinforces the non-linearity properties of the system. When μ = 0, The increase of g cuts down the maximum compression degree and compression times. While μ≠0, compression times increase and decrease by turns with the increase of g. The squeezing effect of the light appears tion-linearity change with the increase of n .When both of the atoms originally locate excitable state or passive state simultaneously, the field can not be squeezed with μ = 0, yet it can be squeezed with μ≠0.