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arXiv 1312.5014quant-ph
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有限维量子系统的交替方脉冲控制协议

Control protocol of finite dimensional quantum systems using alternating square pulse

Jianju Tang, H. C. Fu

摘要:

提出了利用方波脉冲驱动有限维量子系统到达任意目标态的控制方案。这是一个多周期控制过程,在每个周期中,我们应用方波脉冲,以引起能级之间的单个或几个跃迁。详细研究了除第一能隙外能隙相等的系统、第一能隙和第三能隙相等而第二能隙不同的四维系统以及三维能隙全部相等的系统。控制参数,系统和控制场之间的相互作用时间和周期之间的自由演化时间,通过三角函数与目标状态的概率幅连接,并解析确定。

英文摘要:

Control protocol to drive finite dimensional quantum systems to an arbitrary target state using square pulses is proposed explicitly. It is a multi-cycle control process and in each cycle we apply square pulses to cause single or a few transitions between energy levels. Systems with equal energy gaps except the first one, four dimensional system with equal first and third energy gaps and different second energy gap, and systems with all equal energy gaps of dimension three, are investigated in detail. The control parameters, the interaction time between systems and control fields and free evolution times between cycles, are connected with the probability amplitudes of target states via trigonometric functions and are determined analytically.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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