共查询到20条相似文献,搜索用时 15 毫秒
1.
We find that a kind of atomic coherent state, formed as exp [ξ J+- ξ*J-] |00>, when the SU(2) generators J± are taken as Fan's form, J+=(1/2)(a1-a28224;)(a18224;-a2), J_=(1/2) (a18224;+a2)(a1+a28224;), and J0=(1/2) (a18224;a28224;-a1a2), is simultaneously a two-mode squeezed state. We analyse this squeezed state's physical properites, such as the cross-correlation function, the Wigner function, and its marginal distribution as well as the Husimi function. 相似文献
2.
FAN Hong-Yi LIU Shu-Guang 《理论物理通讯》2007,47(3):427-430
We find a new x-parameter squeezed coherent state (p, q)κ representation, which possesses well-behaved features, i.e., its Wigner function's marginal distribution in the "q-direction" and in the "p-direction" is the Gauss/an form exp(-κ(q' - q)2}, and exp{(p' - p)2/κ}, respectively. Based on this, the Husimi function of(p, q)κ is also obtained, which is a Gauss/an broaden version of the Wigner function. The (P, q)κ state provides a good representative space for studying various properties ot the Husimi operator. 相似文献
3.
Xiang-Guo Meng Ji-Suo Wang Bao-Long Liang 《International Journal of Theoretical Physics》2009,48(8):2390-2400
Using the entangled state representation of Wigner operator and some formulae related to the two-variable Hermite polynomials,
the Wigner function of the squeezed pair coherent state (SPCS) and its two marginal distributions are derived. Based on the
entangled Husimi operator introduced by Fan et al. (Phys. Lett. A 358:203, 2006) and the Weyl ordering invariance under similar transformations, we also obtain the Husimi function of the SPCS and its marginal
distribution functions. The comparison between the two quasibability functions shows that, for the same amount of information
included in two functions, the solving process of the Husimi function is simpler than that of the Wigner function.
Work supported by the Natural Science Foundation of Shandong Province of China under Grant Y2008A23 and the Natural Science
Foundation of Liaocheng University under Grant X071049. 相似文献
4.
HU Li-Yun FAN Hong-Yi 《理论物理通讯》2008,50(10):965-970
We find that the squeezed two-mode number state is just a two-variable Hermite polynomial excitation of the two-mode squeezed vacuum state (THPES). We find that the Wigner function of THPES and its marginal distributions are just related to two-variable Hermite polynomials (or Laguerre polynomials) and that the tomogram of THPES can be expressed by one-mode Hermite polynomial. 相似文献
5.
The q-p phase-space distribution function is a popular tool to
study semiclassical physics and to describe the quantum aspects of a system. In this paper by using the pure state density operator formula of the Husimi operator
Δh(q,p;κ)=|p,q〉κκ〈p,q| we deduce the Husimi function of the excited squeezed vacuum state. Then we study the behavior of Husimi distribution graphically. 相似文献
6.
Qin Guo 《International Journal of Theoretical Physics》2007,46(12):3135-3149
In this paper we study the character of the Wigner function and Husimi function of the one- and two mode combining squeezed
state (OTCSS) on the basis of plotting the three dimensional graphics of the Wigner function and Husimi function. It is easy to calculate
the Husimi function of the OTCSS in entangled two-mode state by virtue of the formula of entangled two-mode Husimi operator:
Δ
h
(σ,γ;κ)=|
σ,γ〉
κ
κ
〈σ,γ
| (Fan, H.-Y., Guo, Q. in Phys. Lett. A 358:203–210, 2006). It is clearly found that the evolution law of Husimi function of OTCSS is different from the Wigner function.
Work supported by the specialized research fund for the doctoral progress of higher education in China. 相似文献
7.
FAN Hong-Yi CHENG Hai-Ling 《理论物理通讯》2001,(12)
We construct the generalized squeezed vacuum state by virtue of the entangled state 〈η| [Fan Hongyi and J.R. Klauder, Phys. Rev. A47 (1994) 777] and derive the quantum fluctuation of the two-mode quadrature operators.We then calculate Wigner functions of the two-mode squeezed number states and generalized squeezing vacuum state in literature before. 相似文献
8.
We calculate Wigner function, tomogram of the pair coherent state by using its Sehmidt decomposition in the coherent state representation. It turns out that the Wigner function can be seen as the quantum entanglement (QE) between two two-variable Hermite polynomials (TVHP) and the tomogram is further simplified as QE of two single-variable Hermite polynomials. The Husimi function of pair coherent state is also calculated. 相似文献
9.
MENG Xiang-Guo WANG Ji-Suo LIANG Bao-Long 《理论物理通讯》2008,49(5):1299-1304
In this paper, the two-mode excited squeezed vacuum state (TESVS)
is studied by using the statistical method. By calculating the normalization
of the TESVS, a new form of Jacobi polynomials and some new identities are
obtained. The photon number distribution of the TESVS is given and it is a simple form of Jacobi polynomials. Using the entangled state representation of Wigner operator, the Wigner function of the TESVS is obtainded and the variations of the Wigner function with the parameters m, n, and r are discussed. Here from the phase space point of view the TESVS can be well interpreted and described. 相似文献
10.
We calculate Wigner function, tomogram of the pair coherent state byusing its Schmidt decomposition in the coherent state representation. It turns out that the Wigner function can be seen as the quantum entanglement (QE) between two two-variable Hermite polynomials (TVHP) and the tomogram is further simplified as QE of two single-variable Hermite polynomials. The Husimi function of pair coherent state is also calculated. 相似文献
11.
WU Wei LIU Zhong-Ju ZHANG Jing 《理论物理通讯》2008,50(11):1137-1141
The two-mode squeezed even and odd coherent states are quantum states with some non-classical properties. The entanglement of two-mode squeezed even and odd coherent states are measured by non-classicality of P-function and separability inequalities of EPR-operators. 相似文献
12.
13.
The two-mode squeezed even and odd coherent states are quantum
states with some non-classical properties. The entanglement of
two-mode squeezed even and odd coherent states are measured by
non-classicality of P-function and separability inequalities of EPR-operators. 相似文献
14.
Ye-Jun Xu Hong-Chun Yuan Qiu-Yu Liu 《International Journal of Theoretical Physics》2010,49(5):1106-1117
A new class of excited two-mode generalized squeezed vacuum states denoted by |r,s,m,n〉 are presented, which are obtained by repeatedly applying creation operators a
†
and b
†
on the two-mode generalized squeezed vacuum state. We find that it is just regarded as a generalized squeezed two-variable
Hermite polynomial excitation on the vacuum state and its normalization constant is just a Jacobi polynomial. Their statistical
properties are investigated such as squeezing properties, photon number distribution and the violations of Cauchy-Schwartz
inequality. Especially, the Wigner function for |r,s,m,n〉 depending on the excitation photon numbers is discussed graphically. 相似文献
15.
16.
Based on the Husimi operator in pure state form introduced by Fan et al., which is a squeezed coherent state projector, and the technique of integration within an ordered product (IWOP) of operators, as well as the entangled state representations, we obtain the Husimi functions of the excited squeezed vacuum states (ESVS) and two marginal distributions of the Husimi functions of the ESVS. 相似文献
17.
Based on the Husimi operator in pure state form introduced by Fan et al., which is a squeezed coherent state projector, and the technique ofintegration within an ordered product (IWOP) of operators, as well as theentangled state representations, we obtain the Husimi functions of theexcited squeezed vacuum states (ESVS) and two marginal distributions of theHusimi functions of the ESVS. 相似文献
18.
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
19.
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
20.
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