Paul阱中被囚禁离子质心运动k分量相干态的压缩效应

k component Coherent States of Ion in the Paul Trap and their Squeezing Properties

文章构造Ｐａｕｌ阱中被囚禁离子的ｋ分量相干态，研究囚禁离子位置和动量的测不准关系，详细研究了这种离子的位置和动量在ｋ分量相干态中的压缩性质。研究结果表明，囚禁离子的ｋ分量相干态不仅有二阶压缩效应，而且有高阶压缩效应，并且在一定条件下，可获得周期性的二阶和高阶压缩效应。

k component coherent states of an ion in the Paul trap are constructed. The uncertainty relation of position and momentum of the ion are studied. The second order and higher order squeezing properties of these quantum states are investigated in detail with respect to position and momentum of the ion. It is shown that these quantum states in the Paul trap exhibit not only seconf order squeezing but also higher order squeezing. It is found that under suitable conditions the second order and higher order periodic squeezing can be obtained.