Nonclassical Properties And Their Control In Two-mode Rabi Model Based On Impurity-doped Bose-Einstein Condensate

This thesis is devoted to studying nonclassical properties and their manipulation in the two-mode quantum Rabi mode based on an impurity-doped Bose-Einstein condensate(BEC).A Hamiltonian of a two-mode Rabi model is obtained from the impurity-doped BEC system.We derive an effective Hamiltonian under the dispersive condition,and obtain its analytical solution.Based on the dispersive Hamiltonian we investigate nonclassical properties of the two BEC modes,including the single-mode squeezing,the two-mode squeezing,two-mode quantum coherence and two-mode quantum entanglement.The main results of the thesis are included as follows.1.We derive the dispersive Hamiltonian of the two-mode Rabi model based on the impurity-doped BEC,and obtain an exactly analytical solution in the Heisenberg representation.We investigate the population dynamics of the two-mode BEC.It is found that the BEC population dynamics exhibits the quantum collapse and revival phenomenon which can be manipulated by means of changing the initial impurity population.2.We study quantum squeezing properties of the BEC modes.We calculate the squeezing degree of the single-mode squeezing and two-mode squeezing of the BEC.It is found that the single-mode squeezing of the (?) component and two-mode squeezing of the (?) component happen periodically during the dynamic evolution.It is shown that the single-and two-mode squeezing can be manipulated through changing the initial population of the impurity atom.3.We study the dynamics of two-mode quantum coherence of the BEC and the influence of the impurity atom.It is found that the impurity atom can induce the periodic collapse and revival phenomenon of the two-mode quantum coherence of the BEC.It is demonstrated that the amplitude and period of the collapse and revival can be controlled by changing the initial population of the impurity atom.4.We study entanglement dynamics between two BEC modes and show how the impurity atom to affect the entanglement property.It is found that theimpurity atom can induce the periodical entanglement between two BEC modes.It is indicated that the two-mode entanglement can be controlled by means of changing the initial population of the impurity atom.