囚禁离子非线性J-C模型量子态保真度

用全量子理论研究驻波激光场与囚禁离子相互作用系统中量子态保真度,详细讨论离子质心在驻波激光场中位置及离子初始状态对保真度的影响.结果表明:随着囚禁离子从远离驻波激光场波节处向波节处移动,量子态保真度振荡频率越来越高,振荡幅度几乎不变,且保真度到达第一个极小值所用时间越来越短,但不会出现信息完全失真;随着囚禁离子处于基态概率增加,量子态保真度振荡频率几乎不变,振荡幅度越来越小,也不会出现信息完全失真;在信息储存或传递过程中,囚禁离子量子态失真比系统和驻波场量子态失真小.

Fidelity of Quantum States in the Nonlinear J-C Model of Trapped Ion

The fidelity of quantum states in the system of an ion trapped in a harmonic potential interacting single quantum resonantly with a standing wave laser field is studied by means of full quantum theory, and the influences of the positions of the ion in the harmonic potential and the initial states of the trapped ion on the fidelity are discussed in detail. The results show that: As the tropped ion move from away from the nodes of the standing wave laser field to the nodes, the oscillation frequency of quantum state fidelity is faster and faster, the oscillation amplitude is almost constant, and the time of fidelity reaching the first minimum is shorter and shorter, but the information is not completely distorted. As the probability of trapped ion in the ground state increases, the oscillation frequency of quantum state fidelity is almost constant, the oscillation amplitude is smaller and smaller, and there is no complete distortion of information too. The distortion of the trapped ion quantum state is smaller than that of the system and the cavity field quantum state in the process of quantum information storage or transmission.