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1.
FAN Hong-Yi GUO Qin MA Shan-Jun 《理论物理通讯》2008,49(1):69-72
In this paper, the so-cMled Husimi operator △h(q,p; κ), which is introduced by smoothing out the Wigner operator △ω(q,p) br averaging over the "coarse graining" function exp[-κ(q' - q)^2- (p'- p)^2/κ], is now regarded as a Weft correspondence connecting the Husimi operator △h(q, p; κ) with its classical correspondence, since the integration kernel is just the Wigner operator. In this way we can easily identify |p, q; κ ) such that △ h ( q, p; κ ) = |p, q;κ ) (P, q; κ|, where |P, q;κ) is a new kind of squeezed coherent states. The entangled Husimi operator is also treated in this way. Thus a simple way to tnd the Husimi operator is presented. 相似文献
2.
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
3.
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
4.
热真空态的Husimi分布函数 总被引:3,自引:2,他引:1
根据量子统计中相空间的理论知识,采用两种不同的方法给出了热真空态的Husimi分布函数,并给出了热真空态的Wehrl墒.最后与相应混合态的Husimi分布函数进行比较,得出来热真空态的Husimi分布函数与混合态的Husimi分布函数是相一致的结论. 相似文献
5.
We propose a procedure to generalize the Husimi distribution to systems with continuous spectrum. We start examining a pioneering work, by Gazeau and Klauder, where the concept of coherent states for systems with discrete spectrum was extended to systems with continuous one. In the present article, we see the Husimi distribution as a representation of the density operator in terms of a basis of coherent states. There are other ways to obtain it, but we do not consider here. We specially discuss the problem of the continuous harmonic oscillator. 相似文献
6.
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
7.
For the first time we introduce an operator Δ
h
(γ,ε;κ) for studying Husimi distribution function in phase space (γ,ε) for electron’s states in uniform magnetic field, where κ is the Gaussian spatial width parameter. The marginal distributions of the Husimi function are Gaussian-broadened version
of the Wigner marginal distributions. Using the Wigner operator in the entangled state 〈λ
| representation we find that Δ
h
(γ,ε;κ) is just a pure squeezed coherent state density operator |
γ,ε〉
κ
κ
〈γ,ε
|, which brings much convenience for studying Husimi distribution, so we name Δ
h
(γ,ε;κ) the Husimi operator. We then derive Husimi operator’s normally ordered form that provides us with an operator version to
examine various properties of the Husimi distribution.
Work supported by the National Natural Science Foundation under the grant: 10775097. 相似文献
8.
用全量子理论导出隧穿量子点分子-辐射场相互作用系统状态满足的微分方程组, 在相干态辐射场和量子点分子处于隧穿激发态及基态的初始条件下, 应用Pegg-Barnett相位理论计算和分析了辐射场的相位概率分布及相位涨落, 研究了声子-量子点分子作用对辐射场相位的影响, 并与Husimi相位分布做了比较. 结果表明, 温度显著影响光场相位概率分布的时间演化规律, 声子既可以抑制也可以增强辐射场相位扩散和涨落, 取决于量子点分子的初态. Husimi相位分布和Pegg-Barnett相位分布符合度相当高.
关键词:
量子点分子
声子
量子相位
Q函数')" href="#">Q函数 相似文献
9.
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
10.
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
11.
This paper investigates the decoherence of photo-subtracted squeezed vacuum state (PSSVS) in dissipative channel by describing its statistical properties with time evolution such as Wigner function,Husimi function,and tomogram.It first calculates the normalization factor of PSSVS related to Legendre polynomial.After deriving the normally ordered density operator of PSSVS in dissipative channel,one obtains the explicit analytical expressions of time evolution of PSSVS’s statistical distribution function.It finds that these statistical distributions loss their non-Gaussian nature and become Gaussian at last in the dissipative environment as expected. 相似文献
12.
13.
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
14.
The multi-branched Husimi recursive lattice is extended to a virtual structure with fractional numbers of branches joined on one site. Although the lattice is undrawable in real space, the concept is consistent with regular Husimi lattice. The Ising spins of antiferromagnetic interaction on such a set of lattices are calculated to check the critical temperatures (Tc) and ideal glass transition temperatures (Tk) variation with fractional branch numbers. Besides the similar results of two solutions representing the stable state (crystal) and metastable state (supercooled liquid) and indicating the phase transition temperatures, the phase transitions show a well-defined shift with branch number variation. Therefore the fractional branch number as a parameter can be used as an adjusting tool in constructing a recursive lattice model to describe real systems. 相似文献
15.
16.
Xueyou Xu Hongyun Li Yanhui Zhang Song Gao Shenglu Lin 《International Journal of Theoretical Physics》2009,48(7):2139-2146
We present a theoretical computation of the Husimi distribution function in phase-space for studying the semiclassical dynamics
of the circular electron billiard subjected to a constant magnetic field in the perpendicular direction. The results reveal
that with the increase of the applied magnetic field the peaks of Husimi function tend to the billiard boundaries, along with
the movements a periodic splitting-recombining (alternative single-double) peak structure is arisen. This fact implies the
localization of the eigenstates and coincides to the classical trajectory distribution what we obtained by use of representation
on the billiard boundary. It becomes possible to compare the local properties of the quantum and classical distributions.
Our analysis provides a new perspective to understand the quantum-classical correspondence. 相似文献
17.
18.
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
19.
20.
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