共查询到20条相似文献,搜索用时 562 毫秒
1.
FANHong-Yi JIANGNian-Quan 《理论物理通讯》2003,40(1):39-44
Based on the newly constructed two mutually conjugate 3-mode entangled states of continuum variables in three-mode Fock space we introduce entangled fractional Fourier transform (EFFT) for the tripartite entangled state representations, which are not a direct product of three 1-dimensional FFTs. The eigenmodes of EFFT are obtained,which is different from the usual Hermite polynomials. The EFFT of the three-mode squeezed state is derived. 相似文献
2.
We deduce entangled fractional Fourier transformation (EFFT) for
the multipartite entangled state representation, which was newly
constructed with two mutually conjugate n-mode entangled states of
continuum variables in n-mode Fock space. We establish a formalism
of EFFT for quantum mechanical wave functions, which provides
us a convenient way to derive some wave functions. We find that
the eigenmode of EFFT is different from the usual Hermite Polynomials.
We also derive the EFFT of the n-mode squeezed state. 相似文献
3.
Two mutually conjugated tripartite entangled states and their fractional Fourier transformation kernel 下载免费PDF全文
We newly construct two mutually-conjugate tripartite entangled state representations,based on which we propose the formulation of three-mode entangled fractional Fourier transformation(EFFT) and derive the transformation kernel.The EFFT’s additivity property is proved and the eigenmode of EFFT is derived.As an application,we calculate the EFFT of the three-mode squeezed vacuum state. 相似文献
4.
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
5.
JIANG Nian-Quan FAN Hong-Yi 《理论物理通讯》2008,49(1):225-228
We show that the Agarwal-Simon representation of single-mode squeezed states can be generalized to find new form of three-mode squeezed states. We use the tripartite entangled state representations |p, y, z) and |x, u, v) to realize this goal. 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.
XU Xue-Fen 《理论物理通讯》2008,50(4):979-982
In similar to the derivation of phase angle operator conjugate to the number
operator by Arroyo Carrasco-Moya Cessay we deduce the Hermitian phase
operators that are conjugate to the two-mode number-difference operator and
the three-mode number combination operator. It is shown that these operators
are on the same footing in the entangled state representation as the one of
Turski in the coherent state representation. 相似文献
10.
In three-mode Fock space we find a new tripartite entangled
state |α,γ>λ, which make up a new quantum mechanical
representation. The state
|α,γ>λ can be generated by using the setup composing of a beam splitter and a
parametric down-conversion amplifier. Application of the state is briefly discussed. 相似文献
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12.
We study entangling and disentangling functions of optical Fourier multiport devices in which input-output relation for the creation and annihilation operators is given by a finite Fourier transform. It is shown that these Fourier multiport devices can act as entanglement converters which can not only create entanglement from an unentangled state at the input but also destroy entanglement in an entangled state at the input. Creation and destruction of two-mode and three-mode entangled coherent states (ECSs) are investigated in detail. The creation and destruction of Bell-type two-mode ECS, GHZ-type and W-type three-mode ECSs are indicated explicitly through using Fourier four-port and six-port devices, respectively. 相似文献
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14.
By analogy with the bosonic bipartite entangled state we construct fermionic entangled state with the Grassmann numbers. The Wigner operator in the fermionic entangled state representation is introduced, whose marginal distributions are understood in an entangled way. The technique of integration within an ordered product (IWOP) of Fermi operators is used in our discussion. 相似文献
15.
FAN Hong-Yi WANG Ji-Suo 《理论物理通讯》2007,48(2):245-248
By analogy with the bosonic bipartite entangled state we construct fermionic entangled state with the Grassmann numbers. The Wigner operator in the fermionic entangled state representation is introduced, whose marginal distributions are understood in an entangled way. The technique of integration within an ordered product (IWOP) of Fermi operators is used in our discussion. 相似文献
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18.
We construct the n-particle entangled states |β>θ in n-mode Fock space, and examine their completeness relation and partly non-orthonormal property. Their Schmidt decomposition and entangled operator are manifestly shown. Finally, we discuss their application. 相似文献
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