Controlling the transport of an ion: classical and quantum mechanical solutions
Controlling the transport of an ion: classical and quantum mechanical solutions
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DOI：
10.1088/1367-2630/16/7/075007
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发表时间：
2014-07-09
影响因子：
3.3
通讯作者：
Koch, C. P.
中科院分区：
文献类型：
--
作者：
Fuerst, H. A.;Goerz, M. H.;Koch, C. P.
由于进入的长度和时间尺度不同，以及需要考虑的控制的实验限制，离子在宏观距离上的准确传输是一个具有挑战性的控制问题。在这里，我们研究了最先进的分段微型离子陷阱中离子传输的不同控制技术的性能。我们使用经典轨迹和量子波包传播的数值优化，以及基于不变量的逆工程和几何最优控制得到的解析解。每种控制方法的适用性取决于运输的长度和时间尺度。我们的一套全面的工具允许我们进行大量的观察。我们发现，在工作时间低于陷阱振荡周期的情况下，可以进行精确的穿梭。最大速度受到施加在离子上的最大加速度的限制。当使用从经典动力学获得的控制波包传播时，波包压缩是唯一对大范围的囚禁参数起作用的量子效应。我们证明，这可以通过基于不变量的逆工程得到的补偿力来纠正，而不会显著增加运算时间。
The accurate transport of an ion over macroscopic distances represents a challenging control problem due to the different length and time scales that enter and the experimental limitations on the controls that need to be accounted for. Here, we investigate the performance of different control techniques for ion transport in state-of-the-art segmented miniaturized ion traps. We employ numerical optimization of classical trajectories and quantum wavepacket propagation as well as analytical solutions derived from invariant based inverse engineering and geometric optimal control. The applicability of each of the control methods depends on the length and time scales of the transport. Our comprehensive set of tools allows us make a number of observations. We find that accurate shuttling can be performed with operation times below the trap oscillation period. The maximum speed is limited by the maximum acceleration that can be exerted on the ion. When using controls obtained from classical dynamics for wavepacket propagation, wavepacket squeezing is the only quantum effect that comes into play for a large range of trapping parameters. We show that this can be corrected by a compensating force derived from invariant based inverse engineering, without a significant increase in the operation time.