共查询到20条相似文献,搜索用时 0 毫秒
1.
Yun-Hai Zhang Shi-Min Xu Xing-Lei Xu Hong-Qi Li 《International Journal of Theoretical Physics》2009,48(5):1300-1311
Some unitary operators are derived using quantum state by depending on the technique of integration within an ordered product
of operators, for example parity operator, displacement operator, squeezed operator, etc. The characteristics of these operators
are analyzed. Their unitary transformations play an essential role in some transformations. As applications, the dynamic problems
of the double momentum coupling harmonic oscillators are solved exactly. 相似文献
2.
By virtue of the technique of integration within an ordered product (IWOP) of operators we maoifestly show that Householder transformation in 3-dimensional Euclidean space directly maps to the normally-ordered rotation-reflection operator. A new "dyad" form of it in three-mode Fock space is also deduced. 相似文献
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Based on the technique of integration within an ordered product of operators, the Weyl ordering operator formula is derived and the Fresnel operators' Weyl ordering is also obtained, which together with the Weyl transformation can immediately lead to Eresnel transformation kernel in classical optics. 相似文献
5.
Based on the technique of integration within an ordered product ofoperators, the Weyl ordering operator formula is derived and the Fresneloperators' Weyl ordering is also obtained, which together with the Weyltransformation can immediately lead to Fresnel transformation kernel inclassical optics. 相似文献
6.
By extending Fan-Klauder entangled state representation to multipartite case. We construct n-mode Wigner operator in the common eigenvector of the multipartite centre-of-mass coordinate and two mass-weighted relative
momenta, and its canonical conjugate state, they are both more complicated entangled state of continuum variables. the technique
of integration within an ordered product (IWOP) of operators is essential in our derivation. 相似文献
7.
Based on the entangled Fresnel operator (EFO) proposed in [Commun. Theor. Phys. 46 (2006) 559], the optical operator method studied by the IWOP technique (Ma et al., Commun. Theor. Phys. 49 (2008) 1295) is extended to the two-mode case, which gives the decomposition of the entangled Fresnel operator, corresponding to the decomposition of ray transfer matrix [A, B, C, D]. The EFO can unify those optical operators in two-mode case. Various decompositions of EFO into the exponential canonical operators are obtained. The entangled state representation is useful in the research. 相似文献
8.
光束分离器是量子光学中的基本线性器件之一, 它在量子纠缠态的制备与测量上起着重要作用. 基于光束分离器(BS)对算符的矩阵变换关系, 本文导出了BS算符在若干表象中的自然表示. 利用这个自然表示(而非SU(2)李代数关系)及有序算符内的积分技术, 可直接导出BS算符的正规乘积、紧指数表示及多种分解形式. 此外, 可直接导出一种纠缠态表象及其Schmidt分解. 这对于讨论连续变量量子隐形传输是十分方便的.
关键词:
光束分离器算符
纠缠态表象
有序算符内的积分技术
Schmidt分解 相似文献
9.
We study the sensitivity of energy eigenstates to small perturbation in quantum integrable and chaotic systems.It is shown that the distribution of rescaled components of perturbed states in unperturbed basis exhibits qualitative difference in these two types of systems:being close to the Gaussian form in quantum chaotic systems,while,far from the Gaussian form in integrable systems. 相似文献
10.
Optical Operator Method Studied via Fresnel Operator Decomposition and Coherent State Representation
MA Shan-Jun HU Li-Yun FAN Hong-Yi 《理论物理通讯》2008,49(5):1295-1298
We find that the mapping from classical optical transformations to
the optical operator method can be realized by using the coherent state
representation and the technique of integration within an ordered product of
operators. The optical Fresnel operator derived in (Commun. Theor. Phys.
(Beijing, China) 38 (2002) 147) can unify those frequently used optical operators. Various
decompositions of Fresnel operator into the exponential canonical operators
are obtained. 相似文献
11.
Using the coherent state representation we derive some new operator
identities and study some mathematical relations in combinatorics. The
technique of integral within an ordered product (IWOP) of operators plays an
essential role in realizing our goal. 相似文献
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FAN Hong-Yi GUO Qin 《理论物理通讯》2008,49(4):859-862
We introduce the quantum Hadamard operator in continuum state vector space and find that it can be decomposed into a single-mode squeezing operator and a position-momentum mutual transform operator. The two-mode Hadamard operator in bipartite entangled state representation is also introduced, which involves the two-mode squeezing operator and [η〉 ←→|ξ〉 mutual transformation operator, where [η〉 and |ξ〉 are mutual conjugate entangled states. All the discussions are proceeded by virtue of the IWOP technique. 相似文献
15.
References: 《理论物理通讯》2007,47(1):31-34
We present the continuous state vector of the total coordinate of multi-partlcle and the state vector of their total momentum, respectively, which possess completeness relation in multi-mode Fock space by virtue of the integration within an order product (IWOP) technique. We also calculate the transition from classical transformation of variables in the states to quantum unitary operator, deduce a new multi-mode squeezing operator, and discuss its squeezing effect. In progress, it indicates that the IWOP technique provides a convenient way to construct new representation in quantum mechanics. 相似文献
16.
WANG Pei-Qing SONG Tong-Qiang 《理论物理通讯》2005,44(3):541-546
We construct the nonlinear tripartite entangled state representation and the related generalized Wigner operator. Then we discussed the Wigner functions of the nonlinear tripartite entangled state and the three-mode nonlinear squeezed vacuum state, and obtained the classical Weyl corresponding function of the three-mode nonlinear squeezed state. 相似文献
17.
WANG Pei-Qing SONG Tong-Qiang 《理论物理通讯》2005,44(9)
We construct the nonlinear tripartite entangled state representation and the related generalized Wigner operator. Then we discussed the Wigner functions of the nonlinear tripartite entangled state and the three-mode nonlinear squeezed vacuum state, and obtained the classical Weyl corresponding function of the three-mode nonlinear squeezed state. 相似文献
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Using the technique of integration within an antinormally ordered product of operators we present a convenient approach for deriving some new operator identities in quantum optics theory. Based on P-representation we also derive a new formula for evaluating photocount distribution. 相似文献
20.
By a quantum mechanical analysis of the additive rule Fα[Fβ[f]] = Fα+β[f], which the fractional Fourier transformation (FrFT) Fα[f] should satisfy, we reveal that the position-momentum mutualtransformation operator is the core element for constructing the integration kernel of FrFT. Based on this observation and the two mutually conjugate entangled-state representations, we then derive a core operator for enabling a complex fractional Fourier transformation (CFrFT), which also obeys the additive rule. In a similar manner, we also reveal the fractional transformation property for a type of Fresnel operator. 相似文献