共查询到19条相似文献,搜索用时 578 毫秒
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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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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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将拉盖尔多项式算符作用在相干态上,构造了拉盖尔多项式算符激发相干态.利用有序算符积分技术,导出了它的归一化系数以及〈a^la^+m〉的计算表达式.采用数值计算方法,讨论了相干态相位角和平均光子数对它的非经典性质的影响.研究结果表明:一阶拉盖尔多项式算符激发相干态呈现出压缩效应、反聚束效应、亚泊松分布和Wigner函数负性等量子特性,并且相干态的相位角对它的量子特性有重要影响;另一方面,随相干态平均光子数增大,它的反聚束效应和亚泊松分布性质逐渐减弱,压缩效应和Wigner函数的负性却先增强,而后又逐渐减弱. 相似文献
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相干态是最接近经典态的量子态,而广泛研究的相干迭加态——如奇偶相干态、Schleich的镜像迭加相干态等——则显示更多非经典效应。另外,双模及多模迭加态,特别是所谓的纠缠态,在量子信息处理如量子隐形传态和量子密码术中扮演重要角色。我们就相空间中相互垂直的相干态的迭加态进行讨论,研究其非经典特性,如光子数统计分布、正交分量压缩效应、Wigner分布函数的负性以及由此引入的非经典判别子。结果表明,这一类相干迭加态在满足某种条件下具有亚泊松光子统计分布和正交分量的压缩效应,并且参数变量在一定范围内这两种非经典效应同时存在;这些迭加态的Wigner分布中存在不同程度的负值区域.并与奇偶相干态做出了比较.计算相廊的Wigner函数积分判别子可以定最地分析其负性的深度。 相似文献
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Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state 下载免费PDF全文
The statistical properties of m-coherent superposition operation (μa+νa+)m on the single-mode squeezed vacuum state (M-SSVS) and its decoherence in a thermal environment have been studied. Converting the M-SSVS to a squeezed Hermite polynomial excitation state, we obtain a compact expression for the normalization factor of M-SSVS, which is the Legendre polynomial of the squeezing parameter. We also derive the explicit expression of Wigner function (WF) of M-SSVS, and find the negative region of WF in phase space. The decoherence effect on this state is then discussed by deriving the time evolution of the WF. Using the negativity of WF, the loss of nonclassicality has been discussed. 相似文献
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P. K. Das Prasanta Haldar Arpita Chatterjee 《International Journal of Theoretical Physics》2016,55(11):4951-4962
We discuss nonclassicality of a superposition of coherent states in terms of sub-Poissonian photon statistics as well as the negativity of the Wigner function. We derive an analytic expression for the Wigner function from which we find that the function has some negative region in phase space. We obtain a compact form of the Wigner function when decoherence occurs and study the effect of decoherence on the state. We demonstrate the behaviour of the nonclassicality indicator. 相似文献
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By introducing a kind of new quantum state—Photon-added thermo invariant coherent state (PATCS), we discuss its nonclassicality
in terms of the negativity of Wigner function (WF) after deriving its analytical expression. It is found that the Wigner function
is related to Lagurre-Gaussian function. We then study the effect of decoherence (a thermal environment) on the PATCS according
to its WF (also related to Lagurre-Gaussian function). It is shown that it is not possible for WF to present the negative
region when the decay time
$\kappa t>\frac{1}{2}\ln \frac{2\bar{n}+2}{2\bar{n}+1}$\kappa t>\frac{1}{2}\ln \frac{2\bar{n}+2}{2\bar{n}+1}
. 相似文献
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We construct a new type of photon-added squeezed coherent state generated by repeatedly operating the bosonic creation operator on a new type of squeezed coherent state [Fan H Y and Xiao M 1996 Phys. Lett. A 220 81]. We find that its normalization factor is related to single-variable Hermite polynomials. Furthermore, we investigate its statistical properties, such as Mandel’s Q parameter, photon-number distribution, and Wigner function. The nonclassicality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function. 相似文献
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A new kind of non-Gaussian quantum state is constructed by operating the superposed operator (SO) (cos θaa† + sin θa†a) on a squeezed vacuum state (SVS) S(r)|0〉. It is found that the SOSVS is just a superposition state between S(r)|0〉 and S(r)|2〉 with only even numbers of photons. The nonclassicality is investigated by exploring the negativity of Wigner function (WF) and the sub-Poissonian distribution of Mandel's Q-parameter. The non-Guassianity is exhibited via the fidelity between the SOSVS and the SVS and the marginal distribution of its Wigner function. It is found that such SO on the SVS can enhance the nonclassicality and change the non-Gaussianity of the SOSVS. This provides the possibility of generating quantum states with specific nonclassical and non-Gaussian properties. 相似文献
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Hao-Liang Zhang Fang Jia Xue-Xiang Xu Xiang-Yang Tao Li-Yun Hu 《International Journal of Theoretical Physics》2012,51(10):3330-3343
We introduce a kind of non-Gaussian state—photon-subtracted squeezing-enhanced thermal state (PSSETS) characteristics by two-squeezing parameters (λ,r). Its normalization factor is a Legendre polynomial of two-squeezing parameters and average photon number of the thermal state. The nonclassicality is investigated by using the negativity of Wigner function (WF). It is shown that the single PSSETS always has negative values when . The decoherence effect on PSSETS is then included by analytically deriving the time evolution of WF. For the single PSSETS, the characteristic time is longer than that of photon-subtracted squeezing thermal state. 相似文献
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We analytically study the Wigner function (WF) for the two-variable Hermite polynomial state (TVHPS) and the effect of decoherence on the TVHPS in thermal environment. The nonclassicality of the TVHPS is investigated in terms of the partial negativity of the WF which depends on the polynomial orders m,n and the squeezing parameter r. We also investigate how the WF for the TVHPS evolves in the thermal environment. At long times, the TVHPS decays to thermal, a mixed Gaussian state, within the thermal environment. 相似文献
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Li-Yun Hu Qi Wang Zi-Sheng Wang Xue-xiang Xu 《International Journal of Theoretical Physics》2012,51(2):331-349
Using the thermal entangled state representation 〈η|, we examine the master equation (ME) describing phase-sensitive reservoirs. We present the analytical expression of solution
to the ME, i.e., the Kraus operator-sum representation of density operator ρ is given, and its normalization is also proved by using the IWOP technique. Further, by converting the characteristic function
χ(λ) into an overlap between two “pure states” in enlarged Fock space, i.e., χ(λ)=〈η
=−λ
|ρ|η
=0〉, we consider time evolution of distribution functions, such as Wigner, Q- and P-function. As applications, the photon-count
distribution and the evolution of Wigner function of photon-added coherent state are examined in phase-sensitive reservoirs.
It is shown that the Wigner function has a negative value when
kt\leqslant\frac 12ln( 1+m¥) \kappa t\leqslant\frac {1}{2}\ln ( 1+\mu_{\infty}) is satisfied, where μ
∞ depends on the squeezing parameter |M|2 of environment, and increases as the increase of |M|. 相似文献
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In this paper, we study the Wigner function of coherent state of N components, especially two components and three components. This function consists of two terms: the Gaussian term and the interference term with the negativity. The first term comprises N Gaussian surfaces evenly centred on a circle of radius |β| = |α| with a separate angle of 2π/N, and the second term is composed of 1/2N(N - 1) Gaussian-cosine surfaces evenly centred in a circular region of radius |β| 〈 |α|. Here, a is the eigenvalue of the annihilation operator α, and β is a variable in some complex space in which the Wigner function is defined. We have proved that the essential condition to eliminate the negativity of the Wigner function is that the mean photon count of the coherent state is equal to that of the Glouber coherent state. 相似文献