Optimal control in a quantum cooling problem
Optimal control in a quantum cooling problem
复制标题
量子冷却问题的最优控制
DOI：
10.1016/j.aml.2011.11.020
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
A. Tsirlin
中科院分区：
文献类型：
--
作者：
P. Salamon;K. Hoffmann;A. Tsirlin
考虑通过控制频率来冷却量子谐振子的最佳控制。结果表明，通过正确选择坐标，这个奇异问题可以转化为不再是奇异的等效问题。使用的坐标足够简单，可以实现图形解决方案，并且无需使用类似 Weierstrass 的方法来显示最优性。该问题的优化控制对于将物理系统冷却至低温具有重要意义。它在数学上也具有重要意义，它显示了坐标变换在解决明显奇异问题方面的威力和局限性。
The optimal control for cooling a quantum harmonic oscillator by controlling its frequency is considered. It is shown that this singular problem may be transformed with the proper choice of coordinates to an equivalent problem which is no longer singular. The coordinates used are sufficiently simple that a graphical solution is possible and eliminates the need to use a Weierstrass-like approach to show optimality. The optimal control of this problem is of significance in connection with cooling physical systems to low temperatures. It is also mathematically significant in showing the power and limitations of coordinate transformations for attacking apparently singular problems.