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arXiv 1406.7809quant-ph
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分子取向和光致碎裂中最佳控制策略的外部约束:零面积场的作用

External constraints on optimal control strategies in molecular orientation and photofragmentation: Role of zero-area fields

D. Sugny, S. Vranckx, M. Ndong, O. Atabek, M. Desouter-Lecomte

摘要:

我们提出了一种新的最优局部控制算法,该算法对控制场施加了时间积分零区域的约束。在许多物理应用中至关重要的这一要求的实现在数学上通过引入拉格朗日乘子来实现,该拉格朗日乘子旨在惩罚脉冲面积。该方法允许设计具有尽可能小的面积的控制场,同时使动态系统接近目标状态。我们测试这种方法的效率在分子动力学,即方向和光解的两个控制目的。

英文摘要:

We propose a new formulation of optimal and local control algorithms which enforces the constraint of time-integrated zero-area on the control field. The fulfillment of this requirement, crucial in many physical applications, is mathematically implemented by the introduction of a Lagrange multiplier aiming at penalizing the pulse area. This method allows to design a control field with an area as small as possible, while bringing the dynamical system close to the target state. We test the efficiency of this approach on two control purposes in molecular dynamics, namely, orientation and photodissociation.

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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