Quantum Properties In System Of Right Inverse Coherent State Interacting With Atoms

Study of the quantum properties of the interaction between optical field and matter is a important subject of quantum optics. Fidelity is one of various indexes to measure these quantum properties, which can describe the deviation degree from the initial state to the final state in quantum computation and information transmission. The Boson creation and annihilation operators and its inverse operators acting on different optical field can obtain some new optical field. The right inverse annihilation operator acting on the coherent state results in a new optical field named right inverse coherent state. In this thesis, we discuss the eigenstates of the inverse operators in Fock space. The evolution of the quantum states fidelities of the interaction between right inverse coherent state and one atom(or two atoms) has been studied as well. The main body of this thesis composes four chapters:The first chapter, we introduce the boson annihilation and creation operators and its properties, and then introduce its inverse operators. Finally, we discuss the eigenstates of inverse operators in Fock space, show the eigenstate of right inverse annihilation operator explicitly and the eigenstate of left inverse creation operator does not exist.In the second chapter, right inverse operator acting on coherent state obtain one new quantum state, we call it right inverse coherent state, and we discuss mathematical properties and non-classical properties of right inverse coherent state.In the third chapter, we research right inverse coherent states interacting with superposed state of single atom in Jaynes-Cummings model. We discuss the influence of different parameters on the fidelities of the system, the optical field and the atom. The results show that optical field intensity on the fidelities of Quantum States has an obvious effect, while the times of right annihilation inverse operator and atomic probability argument on the fidelities of quantum states have a lesseffect.In the fourth chapter, we research the interaction between right inverse of coherent state and two entangled two-level atoms in Tavis-Cummings model. The effect of different optical intensity and different times of right annihilation inverse operator on the fidelities of quantum states are discussed. The results show that optical intensity and the times of right annihilation inverse operator effect the fidelities of the system, the optical field and the atoms.