弱场条件下两囚禁离子质心量子态运动

用微扰的方法计算了一个外加周期驱动激光场所组成的,两离子系统质心量子态跃迁几率的解析表达式.以两Ca+作为囚禁离子,模拟出了在弱场的作用下声子态跃迁几率随激光束频偏和相互作用时间变化的分布图形.结果表明:随着外加周期驱动激光场的频率和相互作用时间的调节,系统质心量子态随时间周期性的坍塌与复原|在频偏范围0.85×107~1.2×107 Hz内,质心量子态跃迁几率最高能达到0.97,操控周期最长为0.6×10-6 s,从理论上质心量子态操控周期有很大的缩短|若频偏值大于1.2×107 Hz时,质心量子态跃迁几率约为0.49,激光不能有效控制质心量子态的跃迁.所得结论对实现两比特量子逻辑门等实验研究有一定的参考意义.

Center-of-mass Quantum States Motion of Two Ions Drived by Feeble Field

 With two atoms system drived by external periodic laster field,we have getted the analytic solutions of the centroid quantum state transition probability of the system via the perturbation theory.In the case of two Ca+,the figure of the transition probability of the photon states have simulated,which is vary with the time and the frequency of the laser.The results show that the quantum state of center-of-mass collapses and revives,adjusted by external periodical laser frequency and interaction time under feeble field.When the frequency offset is selected from   to  ,the quantum state of center-of-mass transition probabilities achieve 0.98,the longest manipulation cycle is shortened to  0.6×10-6 s,and the manipulation cycle is shortened greatly in theory.When the frequency offset achieve 1.2×107 Hz,quantum state of center-of-mass transition probabilities is about 0.49,and the laser can not effectively manipulate the transition of center-of-mass quantum states.Accordingly,these results may have some referential values on the realization of two-bit quantum logic gate implementation and some other experimental studies.