共查询到20条相似文献,搜索用时 0 毫秒
1.
We find that the coherent state projection operator representation of symplectic transformation constitutesa loyal group representation of symplectic group. The result of successively applying squeezing operators on numberstate can be easily derived. 相似文献
2.
We find that the coherent state projection operator representation of the two-mode squeezing operator constitutes a loyal group representation of symplectic group, which is a remarkable property of the coherent state. As a consequence, the resultant effect of successively applying two-mode squeezing operators are equivalent to a single squeezing in the two-mode Fock space. Generalization of this property to the 2n-mode case is also discussed. 相似文献
3.
FANHong-Yi CHENJun-Hua 《理论物理通讯》2003,40(5):589-594
We find that the coherent state projection operator representation of the two-mode squeezing operator constitutes a loyal group representation of symplectic group, which is a remarkable property of the coherent state. As a consequence, the resultant effect of successively applying two-mode squeezing operators are equivalent to a single squeezing in the two-mode Fock space. Generalization of this property to the 2n-mode case is also discussed. 相似文献
4.
We derive a kind of operator disentangling formulae and their coherent state represen tation by virtue of the correspondence be tween symplectic transformations and their quantum mechanical images. The application of the formulae in calculating Feynman transformation matrix elements is discussed. 相似文献
5.
Thermal Wigner Operator in Coherent Thermal State Representation and Its Application 总被引:1,自引:0,他引:1
FANHong-Yi 《理论物理通讯》2002,37(3):289-292
In the coherent thermal state representation we introduce thermal Wigner operator and find that it is “squeezed” under the thermal transformation.The thermal Wigner operator provides us with a new direct and neat approach for deriving Wigner functions of thermal states. 相似文献
6.
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
7.
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
8.
By virtue of the technique of integration within an ordered product of operators we present a new formulation of the Weyl quantization scheme in the coherent state representation, which not only brings convenience for calculating the Weyl correspondence of normally ordered operators, but also directly leads us to find both the coherent state representation and the Weyl ordering representation of the Wigner operator. 相似文献
9.
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
10.
TANG Xu-Bing FAN Hong-Yi 《理论物理通讯》2008,50(11):1145-1150
For studying the interference between two Bose-Einstein condensates we introduce the atomic coherentstate (ACS) in the Schwinger bosonic realization along with the phase operator to directly calculate the interference pattern with steady relative phase cos Ф. Eigenstates of the density operator of condensates are classified as ACS is also demonstrated. The entangled state representation is used in some calculations. 相似文献
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12.
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
13.
Based on the conclusion that the generalized Bargmann representation of a
two-mode Fock state is a two-variable Hermite polynomial function [Hong-Yi
Fan and Jun-hua Chen, Phys. Lett. A303 (2002) 311] we derive the generalized
Bargmann representation of the spin coherent state and some new relations in
the generalized function space. 相似文献
14.
We add some useful formulations except for Ref. [4], then investigate the squeezing properties of the atomic collective dipole phase quadrature operators with respect to three-level atomic coherent state in detail. We mainly discuss two extreme cases concerning parameter α and β and obtain some interesting conclusions. 相似文献
15.
By means of the Weyl correspondence and the explicit normally ordered expression of the Wigner operator we convert the time evolution equation of coherent states, governed by some Hamiltonian operators, into seeking for consistent solution of a set of evolution equtions of classical variables which can meet the requirment that an initial coherent state remains coherent all the time. 相似文献
16.
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
17.
By means of the Weyl correspondence and the explicit normally orderedexpression of the Wigner operator we convert the time evolution equation ofcoherent states, governed by some Hamiltonian operators, into seeking forconsistent solution of a set of evolution equtions of classical variableswhich can meet the requirment that an initial coherent state remainscoherent all the time. 相似文献
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