The Discuss Of The Quantum Properties Of The Atoms Interacting With The Optical Field

In recent years, the interactions between atoms and optical fields are suchimportant research topics in quantum optics that they attract people huge interest. Themost typical theoretical model describing the interaction between the atoms andoptical field is Jaynes-Cumming (J-C) Model. By using this model, people have donemany research works and indicated many non-classical properties of atoms andoptical fields such as atomic squeezing, collapse and reversion of the atom'soccupancy, squeezing and antibunching effect etc.In this paper, we mainly discuss the quantum properties of atoms interacting withthe optical fields by using the J-C Model. My research includes two parts:1. In the process of the interaction between the atom and optical field, the atom passedthrough the cavity and entered the Ramsey interference zone with the transition. Thenthe system's state of interaction between atoms and cavity will change. In the paper,the atom's occupancy and squeezing effects with atom transition are studied by meansof the time-evolution operator method and numerical calculation. The dependence ofthese properties on atom's initial state phase and optical field's average photonnumber is also discussed. Initially the prepared atom is superposed two-level atomand prepared optical field is in the coherent state. The results indicated that atom'soccupancy and atomic squeezing effect are strongly influenced by the transition of theatom but they have no influence on the optical field.2. We consider three three-level atoms initially in the GHZ single state, then we puttwo atoms simultaneously into a cavity initially in coherent state and let the third atombe far away from the cavity. When we perform an operation by using the rotationoperator on the third atom then a measurement on it, then different measurementproduced different dipole squeezing effect of the atoms with the large detuning insidethe cavity. The numerical calculation results indicated that the dipole squeezing effectof the atoms inside the cavity is strongly influenced by the performance of the rotationoperation on the atom outside the cavity and the two components of the dipolesqueezing effect Q1 and Q2 are strongly dependent on the different rotationangleθ .