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arXiv 2511.10285quant-ph
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具有偏移(位移)参数的广义相干态

Generalized coherent states with shifted (displaced) arguments

Dušan Popov

AI总结:

本文提出基于非线性阶梯算子和广义位移算子构造偏移参数广义相干态的方法,用DOOT技术研究其性质并通过特殊情况验证,所得表达式可用于量子光学中维格纳算子的计算。

摘要:

本文提出了一种通过广义位移算子作用构造具有偏移参数的广义相干态的方法,该方法基于一对生成非线性相干态的非线性阶梯算子的作用。为研究偏移参数相干态的性质,我们采用了正规算子排序技术(DOOT)的规则。所得结果通过一系列特殊情况验证,获得的表达式与文献中的一致。这些表达式将尤其在量子光学中有用,例如用于计算相干态表象中的维格纳算子。

英文摘要:

In the paper we developed a procedure for constructing generalized coherent states with shifted argument, as a result of the action of the generalized displacement operator. This was based on the action of a pair of nonlinear ladder operators, which generate nonlinear coherent states. To examine the properties of coherent states with shifted argument, the rules of the normal operator ordering technique (DOOT) were used. The results obtained were verified for a series of particular cases, obtaining expressions consistent with those in the literature. The expressions obtained will be, among others, useful in quantum optics, e.g. for calculating the Wigner operator in the representation of coherent states.

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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