共查询到20条相似文献,搜索用时 0 毫秒
1.
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
2.
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
3.
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
4.
5.
E. Wu Yong Hong Ma Li Xia Zeng Xiao An Zhang 《International Journal of Theoretical Physics》2008,47(6):1600-1605
Continuous variable remote state preparation is presented using a two-mode squeezed vacuum state based on the Heisenberg representation.
We show that it is possible to remotely prepare this state in principle. Our scheme’s main advantages are: (i) It is practical,
because a two-mode squeezed vacuum state is easy achieved in experiment, and our scheme only requires a beam splitter and
a feedforward; (ii) Using our scheme decoherence and being cheating can be avoided. 相似文献
6.
We find that a kind of atomic coherent state, formed as exp[ ξJ+-ξJ-]|00〉,when the SU(2) generators J± are taken as Fan's form J+=(1/2)(α1-α2)(α1-α2),J-=(1/2)(α1+α2)(α1+α2),and J0=(1/2)(α1α2-α1α2),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
7.
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
8.
The nonclassicality of the two-variable Hermite polynomial state is investigated. It is found that the two-variable Hermite polynomial state can be considered as a two-mode photon subtracted squeezed vacuum state. A compact expression for the Wigner function is also derived analytically by using the Weyl-ordered operator invariance under similar transformations. Especially, the nonclassicality is discussed in terms of the negativity of the Wigner function. Then violations of Bell’s inequality for the two-variable Hermite polynomial state are studied. 相似文献
9.
Using the coherent state representation of Wigner operator and the technique
of integration within an ordered product (IWOP) of operators, this
paper derives the Wigner
function for the Hermite polynomial state (HPS). The tomogram of
the HPS is calculated with the aid of newly introduced intermediate
coordinate-momentum representation in quantum optics. 相似文献
10.
In this paper, two-mode displaced excited squeezed vacuum states (TDESVS) are constructed and their normalization and completeness are investigated. Using the entangled state representation and Weyl ordering form of the Wigner operator, the Wigner functions of TDESVS are obtained and the variations of Wigner functions with the parameters m, n and r are investigated. Besides, two marginal distributions of Wigner functions of TDESVS are obtained, which exhibit some entangled properties of the two-particle's system in TDESVS. 相似文献
11.
The nonclassicality of the single-variable Hermite polynomial state (SHPS) and its fidelity with squeezed vacuum state are
studied in this paper. It is found that the SHPS can be considered as a single mode photon subtracted squeezed vacuum state.
A compact expression for the Wigner function (WF) is also derived analytically by using the Weyl-ordered operator invariance
under similar transformations. Especially, the nonclassicality is discussed in terms of the negativity of the WF. At last,
the fidelity as a non-Gaussianity measure for this state is also discussed. 相似文献
12.
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
13.
References: 《理论物理通讯》2007,47(6):1024-1028
We reveal that the two-variable Hermite function hm,n, which is the generalized Bargmann representation of the two-mode Fock state, involves quantum entanglement of harmonic oscillator's wave functions. The Schmidt decomposition of hm,n is derived. It also turns out that hm,n can be generated by windowed Fourier transform of the single-variable Hermite functions. As an application, the wave function of the two-variable Hermite polynomial state S(γ)Hm,n (μa1^+, μa2^+│00〉, which is the minimum uncertainty state for sum squeezing, in ( η│representation is calculated. 相似文献
14.
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
15.
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
16.
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
17.
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
18.
We construct a new type of photon-added squeezed coherent state generated by repeatedly operating the bosonic creation operator on a new type of squeezed coherent state [Fan H Y and Xiao M 1996 Phys. Lett. A 220 81]. We find that its normalization factor is related to single-variable Hermite polynomials. Furthermore, we investigate its statistical properties, such as Mandel’s Q parameter, photon-number distribution, and Wigner function. The nonclassicality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function. 相似文献
19.
MENG Xiang-Guo WANG Ji-Suo LIANG Bao-Long 《理论物理通讯》2008,49(6):1457-1460
In this paper, in terms of the technique of integration within an ordered product (IWOP) of operators and the properties of the inverses of q-deformed annihilation and creation operators, normalizable q-analogue of the squeezed one-photon state, which is quite different from one introduced by Song and Fan [Int. 3. Theor. Phys. 41 (2002) 695], is constructed. Moreover, the Wigner function and phase probability distribution of q-analogue of the squeezed one-photon state are examined. 相似文献
20.
Some analytical solutions of generalized two-mode harmonic oscillators model are obtained by utilizing an algebraic diagonalization method. We find two types of eigenstates which are formulated as extended SU(1,1), SU(2)squeezed number states respectively. Some statistical properties of these states are also discussed. 相似文献