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增光子奇偶相干态的Wigner函数
Wigner function for the photon-added even and odd coherent state
【摘要】 利用相干态表象下的Wigner算符,重构了增光子奇偶相干态的Wigner函数.根据此Wigner函数在相空间中随复变量α的变化关系,讨论了增光子奇偶相干态的非经典性质.结果表明,增光子奇偶相干态总可呈现非经典性质,且在m取奇(或偶)数时,增光子偶(或奇)相干态更容易出现非经典性质.根据增光子奇偶相干态的Wigner函数的边缘分布,阐明了此Wigner函数的物理意义.同时,利用中介表象理论获得了增光子奇偶相干态的量子tomogram函数.
【Abstract】 Using the coherent state representation of the Wigner operator,the Wigner function for the photon-added even and odd coherent state(PAEOCS)is obtained.In terms of the variations of the Wigner function with the complex parameter α in the phase space,the non-classical properties of the PAEOCS are discussed.It is found that the PAEOCS always exhibits the non-classical properties,and the photon-added even(or odd)coherent state exhibits the non-classical properties more easily when m is odd(or even).By virtue of the marginal distributions of the Wigner function for the PAEOCS,we illuminate the physical meaning of the Wigner function.Finally,based on the intermidate coordinate-momentum presentation the quantum tomogram function for the PAEOCS is obtained.
【Key words】 photon-added even and odd coherent state; Wigner function; intermidate coordinate-momentum representation; tomogram function;
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2007年04期
- 【分类号】O431.2
- 【被引频次】12
- 【下载频次】189