The Atomic Entropy Squeezing Of The J-C Model Driven By Classical Fields In Non-Markovian Environment

The investigation of the Non-Markovian effect of the quantum systems is a hot topics in quantum information and quantum optics recently. The Non-Markovian entanglement dynamics in the quantum systems and the ap-plications of the Non-Markovian effect in the quantum information processing are widely studied by many international research groups. It is found that the Non-Markovian effect can make the entanglement of quantum systems revived, improve the Holevo capacity of quantum channels and enhance the fidelity and the success rate of quantum communications. Recently, people has focus on the influences of the Non-Markovian effect on the nonclassical effects in quan-tum systems. The results show that, the Non-Markovian effect can enhance the nonclassical effects of a quantum system. In the thesis, the atomic en-tropy squeezing of the Jaynes-Cummings model driven by classical fields in Non-Markovian environment is investigated by the Non-Markovian quantum theory and the entropy squeezing theory, and the effects of the Non-Markovian effect, the Rabi frequency of classical field and the detuning of the system on the atomic entropy squeezing are examined.In chapter1, the basic theory of open quantum system is presented. Con-version from a closed quantum system to an open quantum system is intro-duced. And then the definition of the Markovian approximation is given. Simultaneously, the master equations of the Markovian process and the Non-Markovian process are given. Finally, the phenomenological theory of the Non-Markovian process is presented.In chapter2, the basic theory of atomic entropy squeezing is introduced. The information entropy theory is resumed firstly. Furthermore, two differ-ent definitions of squeezing are given which are based on the Heisenberg un-certainty relation and the Entropy uncertainty relation. Compared variance squeezing definition with entropy squeezing definition, the advantage of the definition of the entropy squeezing is shown.In chapter3, the atomic entropy squeezing of the Jaynes-Cummings model driven by classical fields is investigated. Firstly, the Jaynes-Cummings model driven by classical fields is introduced, and its Hamiltonian is given. Sec-ondly, the atomic entropy squeezing of the given model is studied by the Non-Markovian quantum theory and the entropy squeezing theory, and the influences of the Non-Markovian effect, the Rabi frequency of classical fields and the detuning on atomic entropy squeezing is investigated. Furthermore, the atomic entropy squeezing dynamics are explained through the memory effects of the Non-Markovian processes. The results show that, the atomic en-tropy squeezing can be protected for a long time when both the Rabi frequency of classical fields and the Non-Markovian effect are present simultaneously. So in Non-Markovian environment, we can obtain the optimal squeezing states with large squeezing degree and long squeezing time by choosing appropriate system parameters.The fourth chapter is the summary and prospect.