Quantum Entanglement In The System Of The Atoms Interacting With The Light Field

Some physical and mathematical scientists have paid too much attention to quantum entanglement, since Einstein and Schrodinger proposed the conception of quantum entanglement. Then quantum entanglement becomes a remarkable field in physics for a long time, because it has extensive applications in quantum teleportation and quantum computation as an important physical source, and facilitates the researches of fundamental questions in quantum mechanics. For the quantum entanglement between the field and the atom, some authors have studied the entanglement between a single atom and the field, but less attention has been paid to the entanglement between two or more than two atoms and the field. In this paper, in view of reduced quantum entropy and relative quantum entropy, we have investigated the quantum entanglement between the one or two atoms and the field, and mainly examined the influences of detuning, the intensity of the field, Kerr effect, the initial state of the field or atom on the quantum entanglement between the atom and the field. By analytical and numerical methods, we emphatically studied the quantum entanglement between subsystems for several canonical systems of the atoms interacting with the field. It is found that the different initial states of the field or atom lead to the different evolutions of quantum entanglement between the atom and the field. And detuning, Kerr effect, et al. play an important role for the properties of the quantum entanglement between the atom and the field (such as evolution period, the degree of entanglement, disentanglement et al.). The results may be very important for the experimental realization of the preparation of entangled states and theoretical investigation of quantum entanglement.