共查询到19条相似文献,搜索用时 156 毫秒
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利用相干态表象下的Wigner算符和有序算符内的积分(IWOP)技术,首先得到了热相干态(量子纯态)的Wigner函数;同时借助相干态表象和算符的正规乘积形式给出了相应混合态的Wigner函数.结果表明,热相干态与相应混合态的Wigner甬数是相一致的,支持了热场动力学(TFD)理论.且采用相干态表象下的Wigner算符、IWOP技术和算符的正规乘积形式来研究量子态的Wigner函数非常简捷方便.研究结果加深了人们对量子统计中相空间技术和热场动力学(TFD)理论的认识,且对于其它量子纯态与相应混合态相空间分布函数一致性的研究具有很好的理论指导意义. 相似文献
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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.
关键词:
增光子奇偶相干态
Wigner函数
中介表象
tomogram函数 相似文献
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Wigner算符的正规乘积形式和相干态形式的应用 总被引:1,自引:0,他引:1
本文导出了Wigner算符的正规乘积形式和相干态形式及其若干应用, 其中包括若干新量子算符公式的导出, Moyal定理的相干态推广, 计算以前文献未曾得到的若干与经典函数对应的量子Weyl算符以及若干与量子算符对应的Weyl经典函数. 相似文献
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基于对坐标表象、动量表象及相干态表象完备性关系式的正规乘积内纯高斯积分形式的分析,阐述了利用有序算符内的积分技术构建量子力学新表象的思路和方法,并具体以单模坐标-动量中介表象、双模纠缠态表象和双模相干纠缠态表象的构建为例进行了论述. 相似文献
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利用费米相干态和正规乘积内的积分法,研究费米体系下两个态的交换算符.得到了交换算符在相干态表象中和粒子数表象中的表示,同时将其推广到在多状态情况下态之间的循环交换. 相似文献
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By using the technique of integration within an ordered
product of operators, the normal ordered density operator of the
photon-subtracted squeezed thermal state (PSSTS) is derived. Then
the corresponding Wigner function is presented by using the coherent
state representation of the Wigner operator. The nonclassical properties
of the PSSTS are discussed based on the negativity of the Wigner
function. 相似文献
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This paper constructs a new type of finite-dimensional thermal coherent states (FDTCS), which differs from the proceeding thermal coherent state in construction, as realisations of SU(2) Lie algebra. Using the technique of integration within an ordered product of operator, it investigates the orthonormality and completeness relation of the FDTCS. Based on the thermal Wigner operator in the thermal entangled state representation, the Wigner function of the FDTCS is obtained. The nonclassical properties of the FDTCS are discussed in terms of the negativity of its Wigner function. 相似文献
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By using the technique of integration within an ordered product of operators and the coherent state representation of the
Wigner operator, the Wigner function of a special type of squeezed coherent state [Phys. Lett. A 220, 81 (1996)] is presented. The properties of the Wigner function are discussed based on the numerical calculation. 相似文献
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Using the coherent state representation of Wigner operator and the technique
of integration within an ordered product (IWOP) of operators, this
paper derives the Wigner
function for the Hermite polynomial state (HPS). The tomogram of
the HPS is calculated with the aid of newly introduced intermediate
coordinate-momentum representation in quantum optics. 相似文献
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众所周知,量子态的演化可用与其相应的Wigner函数演化来代替.因为量子态的Wigner函数和量子态的密度矩阵一样,都包含了概率分布和相位等信息,因此对量子态的Wigner函数进行研究,可以更加快速有效地获取量子态在演化过程的重要信息.本文从经典扩散方程出发,利用密度算符的P表示,导出了量子态密度算符的扩散方程.进一步通过引入量子算符的Weyl编序记号,给出了其对应的Weyl量子化方案.另外,借助于密度算符的另一相空间表示-Wigner函数,建立了Wigner算符在扩散通道中演化方程,并给出了其Wigner算符解的形式.本文推导出了Wigner算符在量子扩散通道中的演化规律,即演化过程中任意时刻Wigner算符的形式.在此结论的基础上,讨论了相干态经过量子扩散通道的演化情况. 相似文献
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Thermal Wigner Operator in Coherent Thermal State Representation and Its Application 总被引:1,自引:0,他引:1
FANHong-Yi 《理论物理通讯》2002,37(3):289-292
In the coherent thermal state representation we introduce thermal Wigner operator and find that it is “squeezed” under the thermal transformation.The thermal Wigner operator provides us with a new direct and neat approach for deriving Wigner functions of thermal states. 相似文献
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Using the coherent state representation of Wigner operator and the
technique of integration within an ordered product (IWOP) of
operators, the Wigner functions of the even and odd binomial states
(EOBSs) are obtained. The physical meaning of the Wigner functions
for the EOBSs is given by means of their marginal distributions.
Moreover, the tomograms of the EOBSs are calculated by virtue of
intermediate coordinate-momentum representation in quantum optics. 相似文献
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Relationship Between Wave Function and Corresponding Wigner Function Studied in Entangled State Representation 总被引:1,自引:0,他引:1
XU Xing-Lei LI Hong-Qi FAN Hong-Yi 《理论物理通讯》2008,49(5):1159-1162
By using the explicit form of the entangled Wigner operator and the entangled state representation we derive the relationship between wave function and corresponding Wigner function for bipartite entangled systems. The technique of integration within an ordered product (IWOP) of operators is employed in our discussions. 相似文献