Cavity Qed, Quantum Optics And Quantum Information

Cavity quantum electrodynamics is an important mesas to realize quantum information, and it is also the system that obtain Deterministic multi-particle entanglement. Using Cavity quantum electrodynamics system can achieve the conversion between atomic quantum bit and photon quantum bit. So we can fulfill the process of quantum information. Jaynes-Cummings model and Tavis-Cummings model are simple theoretical models, but they are effective in deal the quantum optics and quantum information problems. In special condition, they have analytic solutions, so they have theoretical and real meanings, and have been afforded more and more attention.In recent years, quantum information science, which mainly includes quantum computer and quantum communication, has evolved as a new research field. Specially, the significant achievements obtained in experiments extremely promote the progress of the quantum optics and quantum information theoretical research. The preliminary application of quantum entangled state in quantum computer and quantum communication extremely promote the progress of the quantum optics and quantum information theoretical research. Non-classical optical field have obvious different feature. For instance, pressure optical field has smaller noise fluctuation than vacuum fluctuation on a component. If use the component of pressure optical field as information carrier, we can obtain higher signal-to-noise. It will be an attractive information carrier.The interaction between optical field and atomic or molecular system is an ancient subject, but since 1960s, with the invention of laser and the increase of empirical technology, the subjects reappear new vitality. In the interaction between optical field and atomic some new characters of optical field and atomic have been fond. Continue the study of non-classical characters in the interaction between optical field and atomic have important theoretical and real meanings.The content of this paper use the mature Jaynes-Cummings model andTavis-Cummings model as base, we study some quantum optical and quantum informational problems. The main results of this thesis are as follows:1. Through studying the interaction between a single mode emission field and a two-level atom in Jaynes-Cummings Model with kerr medium, the evolution feature of atom and optics filed information entropy is obtained. The entanglement feature between atom and optics filed is obtained. We find that Kerr medium exhibits strong influence on the amount of entanglement in this kind of Jaynes-Cummings model. And the influence is non-linearly. The quantum state will stay in the most entangled state for long time when x = 2g. Greater kerr effect will reduce the entanglement degree.2. In this part, considering the nonlinear coupling of Kerr Medium, we study the time evolution of atomic information entropy in k-photon J-C Model. We find that the Kerr effect will decrease the atomic information entropy. In the multi-photon process, the atomic information entropy explode more dynamic feature than single-photon process. We find that in the multi-photon process the entanglement between optical field and atomic. The intensity of coherent field also exhibits the strong influence on the atomic information entropy.3. We study the statistic distribution of quantum photon in non-linearly Jaynes-Cummings model. We find that kerr medium exhibits strong influence on the quantum photon sub-poissonian statistic distribution. Coherent optics field obey the poissonian statistic distribution, but in the non-linearly Jaynes-Cummings model Coherent optics field appear the non-classical feature of sub-poissonian statistic distribution.4. In this part, we study the influence of the coupling strength between two atoms on bunching and anti-bunching effects of photons in the system that two atoms with two levels are interacted with a single-mode light field. Numerical simulation results show that the influence of atomics coupling on bunching and anti-bunching effects is non-linear. But we can get anti-bunching light field for proper atomic coupling strength. And we try to give some explanation for the...