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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 functions for the photon-depleted even and odd coherent states (PDEOCSs). Moreover, in terms of the Wigner functions with respect to the complex parameter a the nonclassical properties of the PDEOCSs are discussed. The results show that the nonclassicality for the state |β, m〉o (or |β,m〉e) is more pronounced when m is even (or odd). According to the marginal distributions of the Wigner functions, the physical meaning of the Wigner functions is given. Further, the tomograms of the PDEOCSs are calculated with the aid of newly introduced intermediate coordinate-momentum representation in quantum optics. 相似文献
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A new kind of even and odd nonlinear coherent states (EONLCSs) is introduced. Using the Pegg-Barnett formalism of phase operator we study the phase probability distributions of the new kind of EONLCSs. The numerical computation results show that the phase probability distributions for the new EONLCSs can clearly exhibit the different features of quantum interference and distinct from those of the ordinary even and odd coherent states (EOCSs) and EONLCSs. Based on the phase probability distributions we investigate the phase and number squeezing of the new EONLCSs. It is found that these states exhibit number squeezing for different ranges of the parameter |λ|. 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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构造出了一种新的奇偶非线性相干态, 并借助于数值计算方法研究了它们的压缩、振幅平方压缩、反聚束和相位概率分布等非经典性质. 结果表明, 与通常的奇偶相干态和非线性奇偶相干态不同, 在参数|λ|的不同取值范围内, 新的奇偶非线性相干态在Y1和Y2两个方向均可呈现振幅平方压缩效应, 而压缩效应仅在偶非线性相干态的X2方向上呈现, 反聚束效应仅在奇非线性相干态中呈现. 另外, 通过研究新的奇偶非线性相干态相位概率分布, 发现新的奇偶非线性相干态具有完全不同的量子干涉特性.
关键词:
新的奇偶非线性相干态
压缩效应
反聚束
相位概率分布 相似文献
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Finite-dimensional even and odd nonlinear pair coherent states and their some nonclassical properties 下载免费PDF全文
In this paper a new class of finite-dimensional even and odd nonlinear pair coherent states (EONLPCSs), which can be realized via operating the superposed evolution operators D±(τ) on the state |q, 0), is constructed, then their orthonormalized property, completeness relations and some nonclassical properties are discussed. It is shown that the finite-dimensional EONLPCSs possess normalization and completeness relations. Moreover, the finite-dimensional EONLPCSs exhibit remarkably different sub-Poissonian distributions and phase probability distributions for different values of parameters q, η and ξ. 相似文献
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构造出了有限维Hilbert空间Roy型奇偶非线性相干态, 讨论了它们的正交归一完备性和振幅平方压缩效应. 研究表明, 在此空间中Roy型奇偶非线性相干态是归一完备的, 但不具有正交性; 当复参数相位角θ满足一定条件时它们存在振幅平方压缩效应, 同时导出了压缩条件与参数s,r以及函数f(n)之间的关系. 最后借助于数值计算, 发现对于5维(或7维)Hilbert空间中Roy型偶(或奇)非线性相干态, 当参数θ和Lamb-Dike参数η取某一给定值时, 在参数r变化的不同取值范围内, 它们均可以呈现振幅平方
关键词:
有限维Hilbert空间
Roy型非线性相干态
奇偶非线性相干态
振幅平方压缩 相似文献
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Continuous-variable quantum teleportation of even and odd coherent states through varied gain channels 下载免费PDF全文
This paper has investigated quantum teleportation of even and odd coherent states in
terms of the EPR entanglement states for continuous variables. It discusses the
relationship between the fidelity and the entanglement of EPR states, which is
characterized by the degree of squeezing and the gain of classical channels. It
shows that the quality of teleporting quantum states also depends on the
characteristics of the states themselves. The properties of teleporting even and odd
coherent states at different intensities are investigated. The difference of
teleporting two such kinds of quantum states are analysed based on the quantum
distance function. 相似文献
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JIANG Jun-Qin 《中国物理C(英文版)》2010,34(3)
A new kind of excited even q-coherent states (aq-1)m|αqe and excited odd q-coherent states (aq-1)m|αqo is constructed by acting with inverse boson operators on the even and odd q-coherent states. The m dependence of the kth-order antibunching effect is numerically studied for k = 2, 3, 4, 5.It is shown that the kth-order antibunching effect enhances as m increases. The larger k, the quicker the antibunching effect enhances. 相似文献
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A new kind of excited even q-coherent states (aq^-1)^m|α〉q^e and excited odd q-coherent states (aq^-1)^m|α〉q^o is constructed by acting with inverse boson operators on the even and odd q-coherent states. The m dependence of the kth-order antibunching effect is numerically studied for k = 2, 3, 4, 5. It is shown that the kth-order antibunching effect enhances as m increases. The larger k, the quicker the antibunching effect enhances. 相似文献
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构造出了奇偶对相干态的指数形式, 并把奇偶对相干态推广至有限维Hilbert空间, 获得了有限维奇偶对相干态, 然后讨论了它们的正交归一完备性、反聚束效应和相位概率分布. 结果表明, 在此空间中奇偶对相干态具有归一完备性, 但不具有正交性. 借助于数值计算发现, 无论q取何值, 在参数|ξ|的不同取值范围内, 对于5维Hilbert空间中奇偶对相干态在模1和模2两个方向上均可呈现反聚束效应, 并且此双模光场的光子均是相关的. 而在7维Hilbert空间中,奇偶对相干态相位概率分
关键词:
有限维奇偶对相干态
反聚束效应
相位概率分布 相似文献
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The Wigner function and the symplectic tomogram of an entangled quantum state, which is a superposition of the photon’s coherent
states (even and odd coherent states), is studied. Photon statistics and violation of Bell’s inequality for the photon state
are discussed. 相似文献
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本文研究介观 Josephson 结与激发偶奇相干态的相互作用。研究了存在非经典光场时介观 Josephson 结中超导电流的一些特性,诸如崩塌与复苏现象,流压台阶特性,直流分量涨落以及超导电流的量子相干等。结果显示,超导电流的涨落及期望值可呈现直流分量。结果还显示稳态超导电流量,超导电流涨落的直流分量以及超导电流直流分量的关联函数等皆与光场的相位有关。 相似文献
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Xiang-Guo Meng Ji-Suo Wang Bao-Long Liang 《International Journal of Theoretical Physics》2009,48(8):2390-2400
Using the entangled state representation of Wigner operator and some formulae related to the two-variable Hermite polynomials,
the Wigner function of the squeezed pair coherent state (SPCS) and its two marginal distributions are derived. Based on the
entangled Husimi operator introduced by Fan et al. (Phys. Lett. A 358:203, 2006) and the Weyl ordering invariance under similar transformations, we also obtain the Husimi function of the SPCS and its marginal
distribution functions. The comparison between the two quasibability functions shows that, for the same amount of information
included in two functions, the solving process of the Husimi function is simpler than that of the Wigner function.
Work supported by the Natural Science Foundation of Shandong Province of China under Grant Y2008A23 and the Natural Science
Foundation of Liaocheng University under Grant X071049. 相似文献