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2.
QIAN Xiao-Qing SONG Tong-Qiang 《理论物理通讯》2005,44(5):911-916
We introduce the three-mode entangled state and set up an experiment to generate it. Then we discuss the three-mode squeezing operator squeezed |p, X2, X3〉→μ^-3/2|p/μ, X2/μ, X3/μ) and the optical implement to realize such a squeezed state. We also reveal that c-number .asymmetric shrink transform in the three-mode entangled state, i.e. |p, X2,X3)→μ^-1/2|p/μ, X2,X3), maps onto a kind of one-sided three-mode squeezing operator {iλ (∑i^3=1 Pi) (∑i^3=1 Qi) -λ/2}. Using the technique of integration within an ordered product (IWOP) of operators, we derive their normally ordered forms and construct the corresponding squeezed states. 相似文献
3.
FAN Hong-Yi GUI Wei-Jun 《理论物理通讯》2004,42(10)
Based on two mutual conjugate tripartite entangled states |η, σ〉θ and |ζ, τ〉θ we generalize the two-mode one-sided squeezing operators to three-mode case. We derive how the tripartite entangled states transform under the three-mode squeezing operators. We conclude that the entangled state representations provide a convenient basis for deriving various three-mode squeezing operators. 相似文献
4.
SONG Tong-Qiang 《理论物理通讯》2005,43(6):1107-1110
The four-particle EPR entangled state | p,χ2,χ3,χ4〉is constructed. The corresponding quantum mechanical operator with respect to the classical transformation p→eλ1p, χ2→
eλ2χ2, χ3→eλ3χ3, and χ4→eλ4χ4 in the state |p,χ2 ,χ3 ,χ4〉is investigated, and the four-mode realization of the
SU(1,1) Lie algebra as well as the corresponding squeezing operators are
presented. 相似文献
5.
Based on two mutual conjugate tripartite entangled states
$|\eta,\sigma\rangle_\theta$ and $| \varsigma ,\tau\rangle_\theta $ we generalize
the two-mode one-sided squeezing operators to three-mode case. We derive how the
tripartite entangled states transform under the three-mode squeezing operators. We
conclude that the entangled state representations provide a convenient basis for
deriving various three-mode squeezing operators. 相似文献
6.
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
7.
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
8.
References: 《理论物理通讯》2007,47(5):905-908
We construct the three-mode cyclic squeezed states and analyze its squeezing property by using the technique of integration within an ordered product of operators and the natural representation of the two-mode squeezing operator in the Einstein-Podolsky-Rosen entangled state basis. 相似文献
9.
We establish a new three-mode entangled state representation , of continuum variables, which make up a complete set. Using optical four-wave mixing and a beam splitter transform we can prepare , . Based on , a new number-difference--operational-phase uncertainty relation is established and the corresponding squeezing dynamics is discussed. 相似文献
10.
Teleportation schemes with a tripartite entangled state in cavity QED are investigated. The schemes do not need Bell state measurements and the successful probabilities reach optimality. In addition, the schemes are insensitive to both the cavity decay and the thermal field. We first consider two teleportation schemes via a tripartite GHZ state.The first one is a controlled one for an unknown single-qubit state. The second scheme is teleportation of unknown two-atom entangled state. Then we consider teleporting of single-qubit arbitrary state via a tripartite W state. 相似文献
11.
XUE Zheng-Yuan YI You-Min CAO Zhuo-Liang 《理论物理通讯》2006,46(2):225-228
Teleportation schemes with a tripartite entangled state in cavity QED are investigated. The schemes do not need Bell state measurements and the successful probabilities reach optimality. In addition, the schemes are insensitive to both the cavity decay and the thermal field. We first consider two teleportation schemes via a tripartite GHZ state. The first one is a controlled one for an unknown single-qubit state. The second scheme is teleportation of unknown two-atom entangled state. Then we consider teleporting of single-qubit arbitrary state via a tripartite W state. 相似文献
12.
Mai-hua Kuang Shan-jun Ma Dong-mei Liu 《International Journal of Theoretical Physics》2009,48(6):1790-1800
Based on the technique of integration within an ordered product of nonlinear bosonic operators, we construct a new four-mode
nonlinear entangled state |
α,β,γ〉
λ,μ
in 4-mode Fock space, which can make up a complete set. Its properties and applications are discussed. A possible scheme
to generate this state is also presented. 相似文献
13.
FAN Hong-Yi HE Hai-Yan 《理论物理通讯》2005,44(7)
Using the nonlinear coherent state representation we derive nonlinear squeezed states and the multiplication rule of nonlinear squeezing operators. We find that the symplectic matrices multiplication rule in nonlinear coherent state projection operator representation maps into the multiplication rule of successive nonlinear squeezing operators.The technique of integral within an ordered product of operators plays an essential role in deriving the multiplication rule. 相似文献
14.
KUANG Mai-Hua MA Shan-Jun LIU Dong-Mei 《理论物理通讯》2008,50(10):867-872
Based on the technique of integral within an ordered product of nonlinear bosonic operators, we construct a new kind of tripartite nonlinear entangled state |α,γ)λ in 3-mode Fock space, which can make up a complete set. We also simply discuss its properties and application. 相似文献
15.
FAN Hong-Yi LI Chao 《理论物理通讯》2006,46(7)
Based on the technique of integral within an ordered product of nonlinear bosonic operators we construct a kind of tripartite nonlinear entangled states, which can make up a complete set. As its application, we also derive nonlinear 3-mode charge-related entangled state. The essential point for constructing these states lies in choosing the appropriate charge operator. 相似文献
16.
FANHong-Yi HEHai-Yan 《理论物理通讯》2005,44(1):137-142
Using the nonlinear coherent state representation we derive nonlinear squeezed states and the multiplication rule of nonlinear squeezing operators. We find that the symplectic matrices multiplication rule in nonlinear coherent state projection operator representation maps into the multiplication rule of successive nonlinear squeezing operators.The technique of integral within an ordered product of operators plays an essential role in deriving the multiplication rule. 相似文献
17.
FAN Hong-Yi LI Chao 《理论物理通讯》2006,46(1):46-50
Based on the technique of integral within an ordered product of nonlinear bosonic operators we construct a kind of tripartite nonlinear entangled states, which can make up a complete set. As its application, we also derive nonlinear 3-mode charge-related entangled state. The essential point for constructing these states lies in choosing the appropriate charge operator. 相似文献
18.
Based on the technique of integral within an ordered product of
nonlinear bosonic operators, we construct a new kind of tripartite nonlinear entangled state
|α,γ〉λ in 3-mode Fock space, which can make up a complete set. We also simply discuss its properties and application. 相似文献
19.
Based on the technique of integration within an ordered product of operators, we derive new bosonicoperators‘ ordering identities by using entangled state representation and the properties of two-variable Hermite poly-nomials H and vice versa. In doing so, some concise normally (antinormally) ordering operator identities, such asa man =:Hm,n(a ,a):, ana m = (-i)m n:Hm,n(ia ,ia): are obtained. 相似文献
20.
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