【作者】 杨晓雨；

【导师】 郑泰玉；

【作者基本信息】 东北师范大学 ， 理论物理， 2008， 硕士

【摘要】 自从描述原子与多模辐射场相互作用的狄克(Dicke)模式,以及描述单模光场与一个二能级原子相互作用的Jaynes-Cummings模型提出以来,人们据此对原子与光场相互作用系统所呈现出的非经典特性进行了了解和探讨,并对Jaynes-Cummings模型进行了多种形式的拓展。Phoenix和Knight( P- K)将熵理论应用于量子光学领域,根据P-K量子熵理论,在光场-原子相互作用系统中,光场(原子)熵演化行为反映了光场与原子关联程度的演化特性,熵越高关联就越强。Buzek和Jex最先将描述二能级原子和光场相互作用的Jaynes-Cummings模型与Kerr介质结合,提出了原子周围存在非线性介质的B-J模型,并研究了该模型动力学行为。随后的研究发现Kerr介质的存在使原子布局反转更有规律,光场亚泊松分布、双模场非经典相关度以及场熵演化规律皆因Kerr效应而有规律变化。Kerr效应的非线性对原子与光场的量子特性的影响,已经引起人们广泛的关注。本文首先简要介绍熵的统计定义,以及熵的量子光学引入;其次介绍前人关于原子-单模光场相互作用系统的熵演化特性,以及原子-双模光场相互作用系统的熵演化特性;论文第三部分,分别计算在无介质和有kerr介质的非线性条件下,原子与双模纠缠光场相互作用系统的场熵演化规律。更多还原

【Abstract】 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.更多还原