Entropy Evolution In The System Of The Double-mode Entangeled Optical Field Interacting With A Two-level Atom

Since the description of a atom with the multi-mold radiation field of Dicke the (Dicke) model, as well as the description of single model optical field the Jaynes-Cummings model which has affected mutually with a two energy level atom proposes, according to the above , mutually affected the non-classical characteristic to the atom and the optical field of the system presented to carry on the understanding and the discussion, and has carried on many kinds of form development to the Jaynes-Cummings model. Phoenix and Knight (P- K) apply the entropy theory in the quantum optics domain, according to P-K quantum entropy theory, affection in the mutual system of the optical field– atom, the entropy evolution of the optical field (atom) had reflected the optical field and the atomic connection degree of evolved characteristic, the entropy is higher and the connection is stronger. Buzek and Jex described the Jaynes-Cummings model, which two energy level atoms and the optical field affect mutually, and take together with the Kerr medium ,then proposed that around the atom has the non-linear medium named the B-J model. And has studied this model dynamics behavior. Afterwards research discovered that the existence of the Kerr medium causes the atomic changes more orderly. Optical field Asia Poisson's distribution, non-classical degree of correlation in the double model field and field entropy evolution get weaker when the Kerr effect get weaker. The influence in non-linearity of Kerr effect to atomic and optical field quantum characteristic, has already aroused the people widespread interest.This article first is brief introduces the statistical definition of the entropy, as well as the introduction about entropy to the quantum optics. Next, introduced other workers` work about the atomic - single model optical field mutually in the entropy characteristic; as well as the atomic - double model optical field affects the system mutually the entropy characteristic.In the third part of the paper, calculates separately in having the non-medium and having the kerr medium non-linear condition, atomic and the double model entanglement optical field affects the system mutually the rule of the field entropy evolution.