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双模压缩真空场与运动原子相互作用过程中的非经典效应

Non-classical Properties in the Interaction between the Two-mode Squeezing Vacuum Field and an Atom in Motion

【作者】 杨瑞芳

【导师】 萨楚尔夫;

【作者基本信息】 内蒙古师范大学 , 光学, 2007, 硕士

【摘要】 第一章简要地介绍了量子熵与纠缠、原子信息熵压缩的基本理论以及光场的非经典效应。第二章运用全量子理论,研究了双模压缩真空态与运动原子相互作用过程中,双模光场的模间纠缠性质。讨论了初始态为激发态下,原子的运动速度和场模结构对模间纠缠性质的影响。结果表明:原子的运动速度和场模结构影响模间纠缠度,但不破坏模间纠缠演化的周期性。第三章运用量子信息熵理论,研究了双模压缩真空态与运动原子相互作用中,运动原子的信息熵压缩。讨论了运动原子初态处于任意态时,原子运动速度、场模结构和场压缩参量对原子信息熵压缩的影响。结果表明,通过选择原子初态,原子运动速度、场模结构,场压缩因子和场压缩相位角可以分别控制原子信息熵压缩的偶极矩分量值、压缩频率、压缩幅度和压缩方向。选择适当的系统参量,运动原子可呈现长时间的持续熵压缩。原子初态的混合度对运动原子的信息熵压缩几乎没有影响。第四章研究了原子运动时双原子Tavis-Cummings模型中双模压缩真空场的量子特性。分析了原子运动速度、场模结构和原子初态对光场量子特性的影响。结果表明:原子运动速度、场模结构和原子初态对双模压缩真空场的量子特性有明显的影响。原子运动速度和场模结构决定光场的量子性质演化的周期性。原子运动速度和场模结构不影响场压缩的最大值。原子初态影响场压缩的最大值和压缩时间。原子运动速度、场模结构和原子初态的变化不改变模间正相关性和模间相关的非经典性。

【Abstract】 The theories on quantum entropy entanglement, information entropy squeezing and the non-classical properties of the field are introduced briefly in the chapter one.The quantum entanglement properties of the two-mode squeezing vacuum field interacting with the atomic motion via two-photon transition are studied by means of quantum theory in the chapter one. The influences of atomic motion and the field structure on the quantum entanglement are investigated as the initial state of atom is in the excited state. The results show that the degree of entanglement between two mode vacuum fields is influenced by the values of velocity of the atomic motion and the structure of the field-mode. The periodic evolution of the entanglement properties cannot be destroyed. The information entropy squeezing properties of the atom in motion interacting with the two-mode squeezing vacuum field via two-photon transition are studied by means of quantum theory in the chapter three. The influences of the velocity of atomic motion, the field structure and the parameter of squeezing field on the information entropy squeezing properties of the atom are investigated as the initial atom is in any state. The results indicate that the value of squeezed component of the atomic dipole, squeezed frequency, amplitude and squeezed direction of the atomic information entropy can be controlled by choosing the atomic initial state, the velocity of atomic motion, the field structure and the squeezing factor of field and the squeezing phase angle of the field respectively. In the longer time, squeezing effects of the atom in motion can be obtained by choosing the system parameters. The mixing degree of atomic initial state has no influence on the entropy squeezing of the atom in motion. The quantum properties of the two-mode squeezing vacuum field in the Tavis-Cummings model with atomic motion are studied by means of quantum theory in the chapter four. The influences of the velocity of atomic motion, the field structure and the initial state on the quantum properties of the field are studied. The results indicate that the velocity of atomic motion, the field structure and the initial state have obvious influences on the quantum properties of the field. The velocity of atomic motion and the field structure control the periodic evolution of the quantum properties of the field. The velocity of atomic motion and the field structure have no influence on the maximum of the field squeezing. The initial state has influences on the maximum and time of the field squeezing. The changes of the velocity of atomic motion, the field structure and the initial state cannot bring changes of the positive pertinence and non-classical properties of pertinence between field modes.

  • 【分类号】O431.2
  • 【下载频次】67
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