排序方式: 共有149条查询结果,搜索用时 15 毫秒
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Xiang-Guo Meng Kai-Cai Li Ji-Suo Wang Zhen-Shan Yang Xiao-Yan Zhang Zhen-Tao Zhang Bao-Long Liang 《Frontiers of Physics》2020,15(5):52501
Using an operator ordering method for some commutative superposition operators, we introduce two new multi-variable special polynomials and their generating functions, and present some new operator identities and integral formulas involving the two special polynomials. Instead of calculating complicated partial differential, we use the special polynomials and their generating functions to concisely address the normalization, photocount distributions and Wigner distributions of several quantum states that can be realized physically, the results of which provide real convenience for further investigating the properties and applications of these states. 相似文献
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This paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state 〈η〉 representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the ρ-γ phase space, the variations of the Wigner function distributions with the parameters q, α, k and l are discussed. The tomogram of the GEPCS is calculated with the help of the Radon transform between the Wigner operator and the projection operator of the entangled state |η1, η2, τ1, τ2|. The entangled states |η〉 and |η1, η2, τ1, τ2〉 provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states. 相似文献
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Ji-Suo Wang Tang-Kun Liu Jian Feng Jin-Zuo Sun 《International Journal of Theoretical Physics》2004,43(9):1891-1905
A class of k-quantum nonlinear coherent states, i.e., the k eigenstates of the powers B
k
(k 3) of the annihilation operator
of f-oscillators, is obtained and its completeness is investigated. An alternative method to construct them is proposed. We introduce a new kind of higher-order squeezing and sub-Poissonian distribution. The quantum statistical properties of the k states are studied. The result shows that all of the eigenstates can be generated by a linear superposition of k Roy-type nonlinear coherent states. These states may form a complete Hilbert space, and the M-th order [M = (n + 1/2)k; n = 0,1, ...] squeezing effects exist in all of the k states when k is even. There is the sub-Poissonian distribution in all of the states. 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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Bao-Long Liang Ji-Suo Wang Hong-Yi Fan 《International Journal of Theoretical Physics》2007,46(7):1779-1785
Wigner function in phase space has its physical meaning as marginal probability distribution in coordinate space and momentum
space respectively, here we endow the Wigner function with a new physical meaning, i.e., its marginal distributions’ statistical
average for q
2/(2C) and p
2/(2L) are the energy stored in capacity and in inductance of a mesoscopic L-C circuit at finite temperature, respectively.
PACS numbers: 03.65.-w, 73.21.-b 相似文献
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Xing-Lei Xu Shi-Min Xu Hong-Qi Li Ji-Suo Wang 《International Journal of Theoretical Physics》2011,50(2):385-394
The new coherent-entangled state |z,x;θ〉 is proposed in the two-mode Fock space, which exhibits both the properties of coherent and entangled states. The completeness
relation of |z,x;θ〉 is proved by virtue of the technique of integral within an ordered product of operators. A generalized Hadamard-Fresnel
complementary transformation derived by virtue of the coherent-entangled state |z,x;θ〉, which is unitary. The new unitary operator plays the role of both Hadamard transformation for ([^(a)]1sinq-[^(a)]2cosq)(\hat{a}_{1}\sin\theta -\hat{a}_{2}\cos\theta) and Fresnel transformation for ([^(a)]1cosq+[^(a)]2sinq)(\hat{a}_{1}\cos\theta +\hat{a}_{2}\sin\theta), respectively. 相似文献
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证明了算符(a^f(n^))k(k≥3)的k个正交归一本征态的完备性,引入了反聚束效应和一种新的高阶压缩,研究了算符(a^f(n^))k的k个本征态的反聚束效应和高阶压缩特性.结果表明,这些态可以构成一个完备的希尔伯特(Hilbert)空间,它们均可呈现反聚束效应,且当k为偶数时它们可呈现M阶[M=(n+12)k;n=0,1,2,…]压缩效应
关键词:
算符(a^f(n^))k的本征态
完备性
反聚束效应
高阶压缩 相似文献
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In our preceding work, a class of k-quantum nonlinear coherent states, i.e., the k eigenstates of the powersBk (k ≥ 3) of the annihilation operator B=-a1/f(N) of f-oscillators, are introduced. In this paper, we introduce a newkind of higher-order squeezing and an antibunching effect. The quantum statistical properties of the k states are studied.The result shows that the M-th order [M = (n 1/2)k; n = 0, 1,...] squeezing effects exist in all of the k states when kis even. There is the antibunching effect in all of the k states. 相似文献