Quantum Properties Of Light Field In The System Of Entangled Coherent Field In Symmetrical Phase Space Interacting With Entangled Atoms

Quantum entanglement is one of the most notable features of quantum mechanics. It plays a central role in an efficient realization of quantum information processing including quantum computation, quantum communication, quantum teleportation and quantum cryptography. Up to now, pioneering experts have done much research about the quantum entanglement of the entangled atoms interacting with field. In order to make it clear, they defined some physical quantity to describe the degree of the entanglement, such as the Von Neumann entropy, distance between density operators and negativity. By means of the quantum theory and numerical calculations method, the time-evolution entanglement of the two-level entangled atoms interacting with two-mode entangled coherent field has been reported. Recently, more and more researchers pay much attention to the non-orthogonality entangled coherent field. Researching the entanglement properties of two two-level atoms interacting with two-mode non-orthogonality entangled coherent field which has symmetry in phase space may have the vital practical significance and application.In this thesis, we investigate the entanglement properties of a quantum system which consist of two two-level entangled atoms and two-mode entangled coherent field which has symmetry in phase space. For our purpose, we use von Neumann entropy to describe the entanglement of the atoms-field by the means of numerical calculations, and use the negative eigenvalues of the partial transposition of the density matrix as the measurement of the entanglement for the two atoms also by the means of numerical calculations. The result shows that the strength of the light field, the relative phase factor has visible influence on the degree of the entanglement. The impact on the entanglement by the coherent argument is tiny change.We also discussed the influence of the strength of the initial light field, the relative phase factor on the non-classical properties of the field. The result shows that the feeble light field and the particular relative phase factor have visible influence on the non-classical properties of the field.